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Finding the Third Proportional to 42,656.77 and 91,854.28

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Solution

The third proportional to 42,656.77 and 91,854.28 is: 197,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,656.77 : 91,854.28 = 91,854.28 : x
  2. Step 2: Convert to fraction form
    42,656.77/91,854.28 = 91,854.28/x
  3. Step 3: Cross multiply
    42,656.77x = 91,854.28 × 91,854.28
  4. Step 4: Simplify right side
    42,656.77x = 8,437,208,983.95
  5. Step 5: Solve for x
    x = 8,437,208,983.95/42,656.77
  6. Step 6: Final answer
    x = 197,792.98

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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.