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Finding the Third Proportional to 119,641,252 and 260,277,704

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Solution

The third proportional to 119,641,252 and 260,277,704 is: 566,230,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,641,252 : 260,277,704 = 260,277,704 : x
  2. Step 2: Convert to fraction form
    119,641,252/260,277,704 = 260,277,704/x
  3. Step 3: Cross multiply
    119,641,252x = 260,277,704 × 260,277,704
  4. Step 4: Simplify right side
    119,641,252x = 67,744,483,199,511,616
  5. Step 5: Solve for x
    x = 67,744,483,199,511,616/119,641,252
  6. Step 6: Final answer
    x = 566,230,142.76

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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.