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Finding the Third Proportional to 142,278,529 and 317,271,502.50

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Solution

The third proportional to 142,278,529 and 317,271,502.50 is: 707,494,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,278,529 : 317,271,502.50 = 317,271,502.50 : x
  2. Step 2: Convert to fraction form
    142,278,529/317,271,502.50 = 317,271,502.50/x
  3. Step 3: Cross multiply
    142,278,529x = 317,271,502.50 × 317,271,502.50
  4. Step 4: Simplify right side
    142,278,529x = 100,661,206,298,607,504
  5. Step 5: Solve for x
    x = 100,661,206,298,607,504/142,278,529
  6. Step 6: Final answer
    x = 707,494,004.94

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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.