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Finding the Third Proportional to 98,431.88 and 147,619.13

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Solution

The third proportional to 98,431.88 and 147,619.13 is: 221,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,431.88 : 147,619.13 = 147,619.13 : x
  2. Step 2: Convert to fraction form
    98,431.88/147,619.13 = 147,619.13/x
  3. Step 3: Cross multiply
    98,431.88x = 147,619.13 × 147,619.13
  4. Step 4: Simplify right side
    98,431.88x = 21,791,406,065.77
  5. Step 5: Solve for x
    x = 21,791,406,065.77/98,431.88
  6. Step 6: Final answer
    x = 221,385.66

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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.