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Finding the Third Proportional to 115,572,824 and 240,711,664

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Solution

The third proportional to 115,572,824 and 240,711,664 is: 501,347,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,572,824 : 240,711,664 = 240,711,664 : x
  2. Step 2: Convert to fraction form
    115,572,824/240,711,664 = 240,711,664/x
  3. Step 3: Cross multiply
    115,572,824x = 240,711,664 × 240,711,664
  4. Step 4: Simplify right side
    115,572,824x = 57,942,105,185,648,896
  5. Step 5: Solve for x
    x = 57,942,105,185,648,896/115,572,824
  6. Step 6: Final answer
    x = 501,347,143.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.