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Finding the Third Proportional to 89,801,358 and 193,972,764

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Solution

The third proportional to 89,801,358 and 193,972,764 is: 418,985,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,801,358 : 193,972,764 = 193,972,764 : x
  2. Step 2: Convert to fraction form
    89,801,358/193,972,764 = 193,972,764/x
  3. Step 3: Cross multiply
    89,801,358x = 193,972,764 × 193,972,764
  4. Step 4: Simplify right side
    89,801,358x = 37,625,433,173,799,696
  5. Step 5: Solve for x
    x = 37,625,433,173,799,696/89,801,358
  6. Step 6: Final answer
    x = 418,985,124.63

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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.