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Finding the Third Proportional to 119,641,644 and 260,278,488

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Solution

The third proportional to 119,641,644 and 260,278,488 is: 566,231,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,641,644 : 260,278,488 = 260,278,488 : x
  2. Step 2: Convert to fraction form
    119,641,644/260,278,488 = 260,278,488/x
  3. Step 3: Cross multiply
    119,641,644x = 260,278,488 × 260,278,488
  4. Step 4: Simplify right side
    119,641,644x = 67,744,891,315,566,144
  5. Step 5: Solve for x
    x = 67,744,891,315,566,144/119,641,644
  6. Step 6: Final answer
    x = 566,231,698.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.