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Finding the Third Proportional to 217,935,042 and 464,965,260

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Solution

The third proportional to 217,935,042 and 464,965,260 is: 992,005,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,935,042 : 464,965,260 = 464,965,260 : x
  2. Step 2: Convert to fraction form
    217,935,042/464,965,260 = 464,965,260/x
  3. Step 3: Cross multiply
    217,935,042x = 464,965,260 × 464,965,260
  4. Step 4: Simplify right side
    217,935,042x = 216,192,693,006,867,584
  5. Step 5: Solve for x
    x = 216,192,693,006,867,584/217,935,042
  6. Step 6: Final answer
    x = 992,005,191.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.