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Finding the Third Proportional to 292,507,676,089.50 and 593,240,001,943.50

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Solution

The third proportional to 292,507,676,089.50 and 593,240,001,943.50 is: 1,203,160,561,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,507,676,089.50 : 593,240,001,943.50 = 593,240,001,943.50 : x
  2. Step 2: Convert to fraction form
    292,507,676,089.50/593,240,001,943.50 = 593,240,001,943.50/x
  3. Step 3: Cross multiply
    292,507,676,089.50x = 593,240,001,943.50 × 593,240,001,943.50
  4. Step 4: Simplify right side
    292,507,676,089.50x = 351,933,699,905,923,915,448,320
  5. Step 5: Solve for x
    x = 351,933,699,905,923,915,448,320/292,507,676,089.50
  6. Step 6: Final answer
    x = 1,203,160,561,838.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.