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Finding the Third Proportional to 233,265,524 and 501,148,215

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Solution

The third proportional to 233,265,524 and 501,148,215 is: 1,076,668,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,524 : 501,148,215 = 501,148,215 : x
  2. Step 2: Convert to fraction form
    233,265,524/501,148,215 = 501,148,215/x
  3. Step 3: Cross multiply
    233,265,524x = 501,148,215 × 501,148,215
  4. Step 4: Simplify right side
    233,265,524x = 251,149,533,397,686,240
  5. Step 5: Solve for x
    x = 251,149,533,397,686,240/233,265,524
  6. Step 6: Final answer
    x = 1,076,668,035.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.