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Finding the Third Proportional to 47,351.25 and 101,355.75

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Solution

The third proportional to 47,351.25 and 101,355.75 is: 216,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,351.25 : 101,355.75 = 101,355.75 : x
  2. Step 2: Convert to fraction form
    47,351.25/101,355.75 = 101,355.75/x
  3. Step 3: Cross multiply
    47,351.25x = 101,355.75 × 101,355.75
  4. Step 4: Simplify right side
    47,351.25x = 10,272,988,058.06
  5. Step 5: Solve for x
    x = 10,272,988,058.06/47,351.25
  6. Step 6: Final answer
    x = 216,952.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.