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Finding the Third Proportional to 41,384,000 and 97,553,601

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Solution

The third proportional to 41,384,000 and 97,553,601 is: 229,960,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,384,000 : 97,553,601 = 97,553,601 : x
  2. Step 2: Convert to fraction form
    41,384,000/97,553,601 = 97,553,601/x
  3. Step 3: Cross multiply
    41,384,000x = 97,553,601 × 97,553,601
  4. Step 4: Simplify right side
    41,384,000x = 9,516,705,068,067,200
  5. Step 5: Solve for x
    x = 9,516,705,068,067,200/41,384,000
  6. Step 6: Final answer
    x = 229,960,976.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.