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Finding the Third Proportional to 100,574,715 and 217,175,766

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Solution

The third proportional to 100,574,715 and 217,175,766 is: 468,957,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574,715 : 217,175,766 = 217,175,766 : x
  2. Step 2: Convert to fraction form
    100,574,715/217,175,766 = 217,175,766/x
  3. Step 3: Cross multiply
    100,574,715x = 217,175,766 × 217,175,766
  4. Step 4: Simplify right side
    100,574,715x = 47,165,313,337,686,752
  5. Step 5: Solve for x
    x = 47,165,313,337,686,752/100,574,715
  6. Step 6: Final answer
    x = 468,957,961.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.