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Finding the Third Proportional to 217,935,045.75 and 464,965,266

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Solution

The third proportional to 217,935,045.75 and 464,965,266 is: 992,005,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,935,045.75 : 464,965,266 = 464,965,266 : x
  2. Step 2: Convert to fraction form
    217,935,045.75/464,965,266 = 464,965,266/x
  3. Step 3: Cross multiply
    217,935,045.75x = 464,965,266 × 464,965,266
  4. Step 4: Simplify right side
    217,935,045.75x = 216,192,698,586,450,752
  5. Step 5: Solve for x
    x = 216,192,698,586,450,752/217,935,045.75
  6. Step 6: Final answer
    x = 992,005,199.73

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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.