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Finding the Third Proportional to 92,278,470 and 217,832,150

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Solution

The third proportional to 92,278,470 and 217,832,150 is: 514,213,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,278,470 : 217,832,150 = 217,832,150 : x
  2. Step 2: Convert to fraction form
    92,278,470/217,832,150 = 217,832,150/x
  3. Step 3: Cross multiply
    92,278,470x = 217,832,150 × 217,832,150
  4. Step 4: Simplify right side
    92,278,470x = 47,450,845,573,622,496
  5. Step 5: Solve for x
    x = 47,450,845,573,622,496/92,278,470
  6. Step 6: Final answer
    x = 514,213,614.22

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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.