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Finding the Third Proportional to 42,265.13 and 91,298.25

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Solution

The third proportional to 42,265.13 and 91,298.25 is: 197,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265.13 : 91,298.25 = 91,298.25 : x
  2. Step 2: Convert to fraction form
    42,265.13/91,298.25 = 91,298.25/x
  3. Step 3: Cross multiply
    42,265.13x = 91,298.25 × 91,298.25
  4. Step 4: Simplify right side
    42,265.13x = 8,335,370,453.06
  5. Step 5: Solve for x
    x = 8,335,370,453.06/42,265.13
  6. Step 6: Final answer
    x = 197,216.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.