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Finding the Third Proportional to 98,460.50 and 147,654.75

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Solution

The third proportional to 98,460.50 and 147,654.75 is: 221,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,460.50 : 147,654.75 = 147,654.75 : x
  2. Step 2: Convert to fraction form
    98,460.50/147,654.75 = 147,654.75/x
  3. Step 3: Cross multiply
    98,460.50x = 147,654.75 × 147,654.75
  4. Step 4: Simplify right side
    98,460.50x = 21,801,925,197.56
  5. Step 5: Solve for x
    x = 21,801,925,197.56/98,460.50
  6. Step 6: Final answer
    x = 221,428.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.