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Finding the Third Proportional to 147,244.50 and 199,642.50

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Solution

The third proportional to 147,244.50 and 199,642.50 is: 270,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,244.50 : 199,642.50 = 199,642.50 : x
  2. Step 2: Convert to fraction form
    147,244.50/199,642.50 = 199,642.50/x
  3. Step 3: Cross multiply
    147,244.50x = 199,642.50 × 199,642.50
  4. Step 4: Simplify right side
    147,244.50x = 39,857,127,806.25
  5. Step 5: Solve for x
    x = 39,857,127,806.25/147,244.50
  6. Step 6: Final answer
    x = 270,686.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.