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Finding the Third Proportional to 169,451,523 and 261,845,812.50

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Solution

The third proportional to 169,451,523 and 261,845,812.50 is: 404,618,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,451,523 : 261,845,812.50 = 261,845,812.50 : x
  2. Step 2: Convert to fraction form
    169,451,523/261,845,812.50 = 261,845,812.50/x
  3. Step 3: Cross multiply
    169,451,523x = 261,845,812.50 × 261,845,812.50
  4. Step 4: Simplify right side
    169,451,523x = 68,563,229,523,785,160
  5. Step 5: Solve for x
    x = 68,563,229,523,785,160/169,451,523
  6. Step 6: Final answer
    x = 404,618,549.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.