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Finding the Third Proportional to 98,400 and 156,650.50

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Solution

The third proportional to 98,400 and 156,650.50 is: 249,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400 : 156,650.50 = 156,650.50 : x
  2. Step 2: Convert to fraction form
    98,400/156,650.50 = 156,650.50/x
  3. Step 3: Cross multiply
    98,400x = 156,650.50 × 156,650.50
  4. Step 4: Simplify right side
    98,400x = 24,539,379,150.25
  5. Step 5: Solve for x
    x = 24,539,379,150.25/98,400
  6. Step 6: Final answer
    x = 249,383.93

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