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Finding the Third Proportional to 45,258.75 and 99,432.56

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Solution

The third proportional to 45,258.75 and 99,432.56 is: 218,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,258.75 : 99,432.56 = 99,432.56 : x
  2. Step 2: Convert to fraction form
    45,258.75/99,432.56 = 99,432.56/x
  3. Step 3: Cross multiply
    45,258.75x = 99,432.56 × 99,432.56
  4. Step 4: Simplify right side
    45,258.75x = 9,886,834,485.32
  5. Step 5: Solve for x
    x = 9,886,834,485.32/45,258.75
  6. Step 6: Final answer
    x = 218,451.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.