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Finding the Third Proportional to 42,752,034 and 92,222,535

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Solution

The third proportional to 42,752,034 and 92,222,535 is: 198,937,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,752,034 : 92,222,535 = 92,222,535 : x
  2. Step 2: Convert to fraction form
    42,752,034/92,222,535 = 92,222,535/x
  3. Step 3: Cross multiply
    42,752,034x = 92,222,535 × 92,222,535
  4. Step 4: Simplify right side
    42,752,034x = 8,504,995,961,826,225
  5. Step 5: Solve for x
    x = 8,504,995,961,826,225/42,752,034
  6. Step 6: Final answer
    x = 198,937,808.71

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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.