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Finding the Third Proportional to 45,509.44 and 99,766.88

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Solution

The third proportional to 45,509.44 and 99,766.88 is: 218,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,509.44 : 99,766.88 = 99,766.88 : x
  2. Step 2: Convert to fraction form
    45,509.44/99,766.88 = 99,766.88/x
  3. Step 3: Cross multiply
    45,509.44x = 99,766.88 × 99,766.88
  4. Step 4: Simplify right side
    45,509.44x = 9,953,429,347.27
  5. Step 5: Solve for x
    x = 9,953,429,347.27/45,509.44
  6. Step 6: Final answer
    x = 218,711.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.