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Finding the Third Proportional to 98,688.38 and 142,443.56

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Solution

The third proportional to 98,688.38 and 142,443.56 is: 205,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,688.38 : 142,443.56 = 142,443.56 : x
  2. Step 2: Convert to fraction form
    98,688.38/142,443.56 = 142,443.56/x
  3. Step 3: Cross multiply
    98,688.38x = 142,443.56 × 142,443.56
  4. Step 4: Simplify right side
    98,688.38x = 20,290,168,497.69
  5. Step 5: Solve for x
    x = 20,290,168,497.69/98,688.38
  6. Step 6: Final answer
    x = 205,598.36

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.