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Finding the Third Proportional to 142,278,527.75 and 317,271,500.25

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Solution

The third proportional to 142,278,527.75 and 317,271,500.25 is: 707,494,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,278,527.75 : 317,271,500.25 = 317,271,500.25 : x
  2. Step 2: Convert to fraction form
    142,278,527.75/317,271,500.25 = 317,271,500.25/x
  3. Step 3: Cross multiply
    142,278,527.75x = 317,271,500.25 × 317,271,500.25
  4. Step 4: Simplify right side
    142,278,527.75x = 100,661,204,870,885,744
  5. Step 5: Solve for x
    x = 100,661,204,870,885,744/142,278,527.75
  6. Step 6: Final answer
    x = 707,494,001.12

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