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Finding the Third Proportional to 99,372,963 and 217,169,214

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Solution

The third proportional to 99,372,963 and 217,169,214 is: 474,600,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,372,963 : 217,169,214 = 217,169,214 : x
  2. Step 2: Convert to fraction form
    99,372,963/217,169,214 = 217,169,214/x
  3. Step 3: Cross multiply
    99,372,963x = 217,169,214 × 217,169,214
  4. Step 4: Simplify right side
    99,372,963x = 47,162,467,509,377,792
  5. Step 5: Solve for x
    x = 47,162,467,509,377,792/99,372,963
  6. Step 6: Final answer
    x = 474,600,596.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.