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Finding the Third Proportional to 109,827,591 and 240,755,358

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Solution

The third proportional to 109,827,591 and 240,755,358 is: 527,764,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,827,591 : 240,755,358 = 240,755,358 : x
  2. Step 2: Convert to fraction form
    109,827,591/240,755,358 = 240,755,358/x
  3. Step 3: Cross multiply
    109,827,591x = 240,755,358 × 240,755,358
  4. Step 4: Simplify right side
    109,827,591x = 57,963,142,405,708,160
  5. Step 5: Solve for x
    x = 57,963,142,405,708,160/109,827,591
  6. Step 6: Final answer
    x = 527,764,852.87

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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.