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Finding the Third Proportional to 109,090,539 and 242,396,190

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Solution

The third proportional to 109,090,539 and 242,396,190 is: 538,597,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,090,539 : 242,396,190 = 242,396,190 : x
  2. Step 2: Convert to fraction form
    109,090,539/242,396,190 = 242,396,190/x
  3. Step 3: Cross multiply
    109,090,539x = 242,396,190 × 242,396,190
  4. Step 4: Simplify right side
    109,090,539x = 58,755,912,926,516,096
  5. Step 5: Solve for x
    x = 58,755,912,926,516,096/109,090,539
  6. Step 6: Final answer
    x = 538,597,695.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.