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Finding the Third Proportional to 98,490.94 and 150,196.78

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Solution

The third proportional to 98,490.94 and 150,196.78 is: 229,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,490.94 : 150,196.78 = 150,196.78 : x
  2. Step 2: Convert to fraction form
    98,490.94/150,196.78 = 150,196.78/x
  3. Step 3: Cross multiply
    98,490.94x = 150,196.78 × 150,196.78
  4. Step 4: Simplify right side
    98,490.94x = 22,559,073,097.86
  5. Step 5: Solve for x
    x = 22,559,073,097.86/98,490.94
  6. Step 6: Final answer
    x = 229,047.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.