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Finding the Third Proportional to 107,195.44 and 156,764.06

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Solution

The third proportional to 107,195.44 and 156,764.06 is: 229,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,195.44 : 156,764.06 = 156,764.06 : x
  2. Step 2: Convert to fraction form
    107,195.44/156,764.06 = 156,764.06/x
  3. Step 3: Cross multiply
    107,195.44x = 156,764.06 × 156,764.06
  4. Step 4: Simplify right side
    107,195.44x = 24,574,971,291.50
  5. Step 5: Solve for x
    x = 24,574,971,291.50/107,195.44
  6. Step 6: Final answer
    x = 229,253.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.