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Finding the Third Proportional to 169,438,524 and 369,950,160

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Solution

The third proportional to 169,438,524 and 369,950,160 is: 807,745,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,438,524 : 369,950,160 = 369,950,160 : x
  2. Step 2: Convert to fraction form
    169,438,524/369,950,160 = 369,950,160/x
  3. Step 3: Cross multiply
    169,438,524x = 369,950,160 × 369,950,160
  4. Step 4: Simplify right side
    169,438,524x = 136,863,120,884,025,600
  5. Step 5: Solve for x
    x = 136,863,120,884,025,600/169,438,524
  6. Step 6: Final answer
    x = 807,745,001.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.