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Finding the Third Proportional to 98,688.38 and 144,034.45

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Solution

The third proportional to 98,688.38 and 144,034.45 is: 210,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,688.38 : 144,034.45 = 144,034.45 : x
  2. Step 2: Convert to fraction form
    98,688.38/144,034.45 = 144,034.45/x
  3. Step 3: Cross multiply
    98,688.38x = 144,034.45 × 144,034.45
  4. Step 4: Simplify right side
    98,688.38x = 20,745,923,687.02
  5. Step 5: Solve for x
    x = 20,745,923,687.02/98,688.38
  6. Step 6: Final answer
    x = 210,216.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.