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Finding the Third Proportional to 87,947,127 and 193,238,217

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Solution

The third proportional to 87,947,127 and 193,238,217 is: 424,584,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,947,127 : 193,238,217 = 193,238,217 : x
  2. Step 2: Convert to fraction form
    87,947,127/193,238,217 = 193,238,217/x
  3. Step 3: Cross multiply
    87,947,127x = 193,238,217 × 193,238,217
  4. Step 4: Simplify right side
    87,947,127x = 37,341,008,509,339,088
  5. Step 5: Solve for x
    x = 37,341,008,509,339,088/87,947,127
  6. Step 6: Final answer
    x = 424,584,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.