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Finding the Third Proportional to 142,278,530 and 317,271,504.50

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Solution

The third proportional to 142,278,530 and 317,271,504.50 is: 707,494,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,278,530 : 317,271,504.50 = 317,271,504.50 : x
  2. Step 2: Convert to fraction form
    142,278,530/317,271,504.50 = 317,271,504.50/x
  3. Step 3: Cross multiply
    142,278,530x = 317,271,504.50 × 317,271,504.50
  4. Step 4: Simplify right side
    142,278,530x = 100,661,207,567,693,520
  5. Step 5: Solve for x
    x = 100,661,207,567,693,520/142,278,530
  6. Step 6: Final answer
    x = 707,494,008.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.