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Finding the Third Proportional to 97,890.40 and 155,764.27

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Solution

The third proportional to 97,890.40 and 155,764.27 is: 247,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,890.40 : 155,764.27 = 155,764.27 : x
  2. Step 2: Convert to fraction form
    97,890.40/155,764.27 = 155,764.27/x
  3. Step 3: Cross multiply
    97,890.40x = 155,764.27 × 155,764.27
  4. Step 4: Simplify right side
    97,890.40x = 24,262,506,445.70
  5. Step 5: Solve for x
    x = 24,262,506,445.70/97,890.40
  6. Step 6: Final answer
    x = 247,853.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.