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Finding the Third Proportional to 87,947,135 and 193,238,233

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Solution

The third proportional to 87,947,135 and 193,238,233 is: 424,584,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,947,135 : 193,238,233 = 193,238,233 : x
  2. Step 2: Convert to fraction form
    87,947,135/193,238,233 = 193,238,233/x
  3. Step 3: Cross multiply
    87,947,135x = 193,238,233 × 193,238,233
  4. Step 4: Simplify right side
    87,947,135x = 37,341,014,692,962,288
  5. Step 5: Solve for x
    x = 37,341,014,692,962,288/87,947,135
  6. Step 6: Final answer
    x = 424,584,776.90

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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.