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Finding the Third Proportional to 136,899,460 and 205,375,686

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Solution

The third proportional to 136,899,460 and 205,375,686 is: 308,103,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,899,460 : 205,375,686 = 205,375,686 : x
  2. Step 2: Convert to fraction form
    136,899,460/205,375,686 = 205,375,686/x
  3. Step 3: Cross multiply
    136,899,460x = 205,375,686 × 205,375,686
  4. Step 4: Simplify right side
    136,899,460x = 42,179,172,399,970,592
  5. Step 5: Solve for x
    x = 42,179,172,399,970,592/136,899,460
  6. Step 6: Final answer
    x = 308,103,278.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.