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Finding the Third Proportional to 42,644,690.16 and 92,098,331.44

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Solution

The third proportional to 42,644,690.16 and 92,098,331.44 is: 198,901,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,644,690.16 : 92,098,331.44 = 92,098,331.44 : x
  2. Step 2: Convert to fraction form
    42,644,690.16/92,098,331.44 = 92,098,331.44/x
  3. Step 3: Cross multiply
    42,644,690.16x = 92,098,331.44 × 92,098,331.44
  4. Step 4: Simplify right side
    42,644,690.16x = 8,482,102,653,571,601
  5. Step 5: Solve for x
    x = 8,482,102,653,571,601/42,644,690.16
  6. Step 6: Final answer
    x = 198,901,730.14

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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.