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Finding the Third Proportional to 100,957.08 and 156,303.84

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Solution

The third proportional to 100,957.08 and 156,303.84 is: 241,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957.08 : 156,303.84 = 156,303.84 : x
  2. Step 2: Convert to fraction form
    100,957.08/156,303.84 = 156,303.84/x
  3. Step 3: Cross multiply
    100,957.08x = 156,303.84 × 156,303.84
  4. Step 4: Simplify right side
    100,957.08x = 24,430,891,571.02
  5. Step 5: Solve for x
    x = 24,430,891,571.02/100,957.08
  6. Step 6: Final answer
    x = 241,992.86

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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.