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Finding the Third Proportional to 81,211,656 and 175,367,041

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Solution

The third proportional to 81,211,656 and 175,367,041 is: 378,684,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,211,656 : 175,367,041 = 175,367,041 : x
  2. Step 2: Convert to fraction form
    81,211,656/175,367,041 = 175,367,041/x
  3. Step 3: Cross multiply
    81,211,656x = 175,367,041 × 175,367,041
  4. Step 4: Simplify right side
    81,211,656x = 30,753,599,069,095,680
  5. Step 5: Solve for x
    x = 30,753,599,069,095,680/81,211,656
  6. Step 6: Final answer
    x = 378,684,545.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.