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Finding the Third Proportional to 108,934.50 and 150,009

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Solution

The third proportional to 108,934.50 and 150,009 is: 206,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,934.50 : 150,009 = 150,009 : x
  2. Step 2: Convert to fraction form
    108,934.50/150,009 = 150,009/x
  3. Step 3: Cross multiply
    108,934.50x = 150,009 × 150,009
  4. Step 4: Simplify right side
    108,934.50x = 22,502,700,081
  5. Step 5: Solve for x
    x = 22,502,700,081/108,934.50
  6. Step 6: Final answer
    x = 206,570.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.