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Finding the Third Proportional to 42,309 and 91,901.25

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Solution

The third proportional to 42,309 and 91,901.25 is: 199,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309 : 91,901.25 = 91,901.25 : x
  2. Step 2: Convert to fraction form
    42,309/91,901.25 = 91,901.25/x
  3. Step 3: Cross multiply
    42,309x = 91,901.25 × 91,901.25
  4. Step 4: Simplify right side
    42,309x = 8,445,839,751.56
  5. Step 5: Solve for x
    x = 8,445,839,751.56/42,309
  6. Step 6: Final answer
    x = 199,622.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.