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Finding the Third Proportional to 89,204,656 and 125,621,711

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Solution

The third proportional to 89,204,656 and 125,621,711 is: 176,905,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,204,656 : 125,621,711 = 125,621,711 : x
  2. Step 2: Convert to fraction form
    89,204,656/125,621,711 = 125,621,711/x
  3. Step 3: Cross multiply
    89,204,656x = 125,621,711 × 125,621,711
  4. Step 4: Simplify right side
    89,204,656x = 15,780,814,274,567,520
  5. Step 5: Solve for x
    x = 15,780,814,274,567,520/89,204,656
  6. Step 6: Final answer
    x = 176,905,724.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.