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Finding the Third Proportional to 100,949.63 and 156,760.31

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Solution

The third proportional to 100,949.63 and 156,760.31 is: 243,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,949.63 : 156,760.31 = 156,760.31 : x
  2. Step 2: Convert to fraction form
    100,949.63/156,760.31 = 156,760.31/x
  3. Step 3: Cross multiply
    100,949.63x = 156,760.31 × 156,760.31
  4. Step 4: Simplify right side
    100,949.63x = 24,573,795,575.10
  5. Step 5: Solve for x
    x = 24,573,795,575.10/100,949.63
  6. Step 6: Final answer
    x = 243,426.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.