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Finding the Third Proportional to 45,256.50 and 99,442.13

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Solution

The third proportional to 45,256.50 and 99,442.13 is: 218,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,256.50 : 99,442.13 = 99,442.13 : x
  2. Step 2: Convert to fraction form
    45,256.50/99,442.13 = 99,442.13/x
  3. Step 3: Cross multiply
    45,256.50x = 99,442.13 × 99,442.13
  4. Step 4: Simplify right side
    45,256.50x = 9,888,736,224.52
  5. Step 5: Solve for x
    x = 9,888,736,224.52/45,256.50
  6. Step 6: Final answer
    x = 218,504.22

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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.