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Finding the Third Proportional to 85,416,345 and 127,564,791

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Solution

The third proportional to 85,416,345 and 127,564,791 is: 190,511,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416,345 : 127,564,791 = 127,564,791 : x
  2. Step 2: Convert to fraction form
    85,416,345/127,564,791 = 127,564,791/x
  3. Step 3: Cross multiply
    85,416,345x = 127,564,791 × 127,564,791
  4. Step 4: Simplify right side
    85,416,345x = 16,272,775,902,873,680
  5. Step 5: Solve for x
    x = 16,272,775,902,873,680/85,416,345
  6. Step 6: Final answer
    x = 190,511,264.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.