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Finding the Third Proportional to 45,772.59 and 99,071.23

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Solution

The third proportional to 45,772.59 and 99,071.23 is: 214,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,772.59 : 99,071.23 = 99,071.23 : x
  2. Step 2: Convert to fraction form
    45,772.59/99,071.23 = 99,071.23/x
  3. Step 3: Cross multiply
    45,772.59x = 99,071.23 × 99,071.23
  4. Step 4: Simplify right side
    45,772.59x = 9,815,107,932.60
  5. Step 5: Solve for x
    x = 9,815,107,932.60/45,772.59
  6. Step 6: Final answer
    x = 214,431.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.