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Finding the Third Proportional to 98,869.50 and 233,112

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Solution

The third proportional to 98,869.50 and 233,112 is: 549,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,869.50 : 233,112 = 233,112 : x
  2. Step 2: Convert to fraction form
    98,869.50/233,112 = 233,112/x
  3. Step 3: Cross multiply
    98,869.50x = 233,112 × 233,112
  4. Step 4: Simplify right side
    98,869.50x = 54,341,204,544
  5. Step 5: Solve for x
    x = 54,341,204,544/98,869.50
  6. Step 6: Final answer
    x = 549,625.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.