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Finding the Third Proportional to 109,827,593 and 240,755,362

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Solution

The third proportional to 109,827,593 and 240,755,362 is: 527,764,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,827,593 : 240,755,362 = 240,755,362 : x
  2. Step 2: Convert to fraction form
    109,827,593/240,755,362 = 240,755,362/x
  3. Step 3: Cross multiply
    109,827,593x = 240,755,362 × 240,755,362
  4. Step 4: Simplify right side
    109,827,593x = 57,963,144,331,751,040
  5. Step 5: Solve for x
    x = 57,963,144,331,751,040/109,827,593
  6. Step 6: Final answer
    x = 527,764,860.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.