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Finding the Third Proportional to 42,770,664 and 92,218,320

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Solution

The third proportional to 42,770,664 and 92,218,320 is: 198,832,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770,664 : 92,218,320 = 92,218,320 : x
  2. Step 2: Convert to fraction form
    42,770,664/92,218,320 = 92,218,320/x
  3. Step 3: Cross multiply
    42,770,664x = 92,218,320 × 92,218,320
  4. Step 4: Simplify right side
    42,770,664x = 8,504,218,543,622,400
  5. Step 5: Solve for x
    x = 8,504,218,543,622,400/42,770,664
  6. Step 6: Final answer
    x = 198,832,979.16

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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.