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Finding the Third Proportional to 42,363 and 91,290.38

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Solution

The third proportional to 42,363 and 91,290.38 is: 196,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363 : 91,290.38 = 91,290.38 : x
  2. Step 2: Convert to fraction form
    42,363/91,290.38 = 91,290.38/x
  3. Step 3: Cross multiply
    42,363x = 91,290.38 × 91,290.38
  4. Step 4: Simplify right side
    42,363x = 8,333,932,567.64
  5. Step 5: Solve for x
    x = 8,333,932,567.64/42,363
  6. Step 6: Final answer
    x = 196,726.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.