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Finding the Third Proportional to 217,062,496 and 465,635,160

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Solution

The third proportional to 217,062,496 and 465,635,160 is: 998,864,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,062,496 : 465,635,160 = 465,635,160 : x
  2. Step 2: Convert to fraction form
    217,062,496/465,635,160 = 465,635,160/x
  3. Step 3: Cross multiply
    217,062,496x = 465,635,160 × 465,635,160
  4. Step 4: Simplify right side
    217,062,496x = 216,816,102,228,225,600
  5. Step 5: Solve for x
    x = 216,816,102,228,225,600/217,062,496
  6. Step 6: Final answer
    x = 998,864,871.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.