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Finding the Third Proportional to 98,247,286.13 and 147,442,858.88

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Solution

The third proportional to 98,247,286.13 and 147,442,858.88 is: 221,272,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247,286.13 : 147,442,858.88 = 147,442,858.88 : x
  2. Step 2: Convert to fraction form
    98,247,286.13/147,442,858.88 = 147,442,858.88/x
  3. Step 3: Cross multiply
    98,247,286.13x = 147,442,858.88 × 147,442,858.88
  4. Step 4: Simplify right side
    98,247,286.13x = 21,739,396,633,233,168
  5. Step 5: Solve for x
    x = 21,739,396,633,233,168/98,247,286.13
  6. Step 6: Final answer
    x = 221,272,235.51

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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.