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Finding the Third Proportional to 98,405.44 and 156,658.50

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Solution

The third proportional to 98,405.44 and 156,658.50 is: 249,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,405.44 : 156,658.50 = 156,658.50 : x
  2. Step 2: Convert to fraction form
    98,405.44/156,658.50 = 156,658.50/x
  3. Step 3: Cross multiply
    98,405.44x = 156,658.50 × 156,658.50
  4. Step 4: Simplify right side
    98,405.44x = 24,541,885,622.25
  5. Step 5: Solve for x
    x = 24,541,885,622.25/98,405.44
  6. Step 6: Final answer
    x = 249,395.63

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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.