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Finding the Third Proportional to 98,708,530 and 147,482,171

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Solution

The third proportional to 98,708,530 and 147,482,171 is: 220,355,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,708,530 : 147,482,171 = 147,482,171 : x
  2. Step 2: Convert to fraction form
    98,708,530/147,482,171 = 147,482,171/x
  3. Step 3: Cross multiply
    98,708,530x = 147,482,171 × 147,482,171
  4. Step 4: Simplify right side
    98,708,530x = 21,750,990,762,873,240
  5. Step 5: Solve for x
    x = 21,750,990,762,873,240/98,708,530
  6. Step 6: Final answer
    x = 220,355,735.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.