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Finding the Third Proportional to 98,436 and 148,830

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Solution

The third proportional to 98,436 and 148,830 is: 225,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,436 : 148,830 = 148,830 : x
  2. Step 2: Convert to fraction form
    98,436/148,830 = 148,830/x
  3. Step 3: Cross multiply
    98,436x = 148,830 × 148,830
  4. Step 4: Simplify right side
    98,436x = 22,150,368,900
  5. Step 5: Solve for x
    x = 22,150,368,900/98,436
  6. Step 6: Final answer
    x = 225,023.05

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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.