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Finding the Third Proportional to 109,399.78 and 147,478.22

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Solution

The third proportional to 109,399.78 and 147,478.22 is: 198,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,399.78 : 147,478.22 = 147,478.22 : x
  2. Step 2: Convert to fraction form
    109,399.78/147,478.22 = 147,478.22/x
  3. Step 3: Cross multiply
    109,399.78x = 147,478.22 × 147,478.22
  4. Step 4: Simplify right side
    109,399.78x = 21,749,825,005.67
  5. Step 5: Solve for x
    x = 21,749,825,005.67/109,399.78
  6. Step 6: Final answer
    x = 198,810.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.