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Finding the Third Proportional to 116,396,727 and 161,840,340

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Solution

The third proportional to 116,396,727 and 161,840,340 is: 225,026,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,396,727 : 161,840,340 = 161,840,340 : x
  2. Step 2: Convert to fraction form
    116,396,727/161,840,340 = 161,840,340/x
  3. Step 3: Cross multiply
    116,396,727x = 161,840,340 × 161,840,340
  4. Step 4: Simplify right side
    116,396,727x = 26,192,295,651,315,600
  5. Step 5: Solve for x
    x = 26,192,295,651,315,600/116,396,727
  6. Step 6: Final answer
    x = 225,026,049.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.