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Finding the Third Proportional to 169,665,034.50 and 259,428,021.75

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Solution

The third proportional to 169,665,034.50 and 259,428,021.75 is: 396,681,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,665,034.50 : 259,428,021.75 = 259,428,021.75 : x
  2. Step 2: Convert to fraction form
    169,665,034.50/259,428,021.75 = 259,428,021.75/x
  3. Step 3: Cross multiply
    169,665,034.50x = 259,428,021.75 × 259,428,021.75
  4. Step 4: Simplify right side
    169,665,034.50x = 67,302,898,469,118,472
  5. Step 5: Solve for x
    x = 67,302,898,469,118,472/169,665,034.50
  6. Step 6: Final answer
    x = 396,681,017.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.