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Finding the Third Proportional to 99,808,785 and 217,192,660.50

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Solution

The third proportional to 99,808,785 and 217,192,660.50 is: 472,630,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,808,785 : 217,192,660.50 = 217,192,660.50 : x
  2. Step 2: Convert to fraction form
    99,808,785/217,192,660.50 = 217,192,660.50/x
  3. Step 3: Cross multiply
    99,808,785x = 217,192,660.50 × 217,192,660.50
  4. Step 4: Simplify right side
    99,808,785x = 47,172,651,775,068,264
  5. Step 5: Solve for x
    x = 47,172,651,775,068,264/99,808,785
  6. Step 6: Final answer
    x = 472,630,257.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.