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Finding the Third Proportional to 86,455,134 and 133,722,711

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Solution

The third proportional to 86,455,134 and 133,722,711 is: 206,832,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,455,134 : 133,722,711 = 133,722,711 : x
  2. Step 2: Convert to fraction form
    86,455,134/133,722,711 = 133,722,711/x
  3. Step 3: Cross multiply
    86,455,134x = 133,722,711 × 133,722,711
  4. Step 4: Simplify right side
    86,455,134x = 17,881,763,437,189,520
  5. Step 5: Solve for x
    x = 17,881,763,437,189,520/86,455,134
  6. Step 6: Final answer
    x = 206,832,869.37

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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.