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Finding the Third Proportional to 98,512.50 and 148,498.50

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Solution

The third proportional to 98,512.50 and 148,498.50 is: 223,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512.50 : 148,498.50 = 148,498.50 : x
  2. Step 2: Convert to fraction form
    98,512.50/148,498.50 = 148,498.50/x
  3. Step 3: Cross multiply
    98,512.50x = 148,498.50 × 148,498.50
  4. Step 4: Simplify right side
    98,512.50x = 22,051,804,502.25
  5. Step 5: Solve for x
    x = 22,051,804,502.25/98,512.50
  6. Step 6: Final answer
    x = 223,847.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.