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Finding the Third Proportional to 42,713.25 and 99,796.50

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Solution

The third proportional to 42,713.25 and 99,796.50 is: 233,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,713.25 : 99,796.50 = 99,796.50 : x
  2. Step 2: Convert to fraction form
    42,713.25/99,796.50 = 99,796.50/x
  3. Step 3: Cross multiply
    42,713.25x = 99,796.50 × 99,796.50
  4. Step 4: Simplify right side
    42,713.25x = 9,959,341,412.25
  5. Step 5: Solve for x
    x = 9,959,341,412.25/42,713.25
  6. Step 6: Final answer
    x = 233,167.49

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.