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Finding the Third Proportional to 89,923,734 and 212,206,599

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Solution

The third proportional to 89,923,734 and 212,206,599 is: 500,775,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,923,734 : 212,206,599 = 212,206,599 : x
  2. Step 2: Convert to fraction form
    89,923,734/212,206,599 = 212,206,599/x
  3. Step 3: Cross multiply
    89,923,734x = 212,206,599 × 212,206,599
  4. Step 4: Simplify right side
    89,923,734x = 45,031,640,659,146,800
  5. Step 5: Solve for x
    x = 45,031,640,659,146,800/89,923,734
  6. Step 6: Final answer
    x = 500,775,920.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.