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Finding the Third Proportional to 119,652,616 and 260,269,508

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Solution

The third proportional to 119,652,616 and 260,269,508 is: 566,140,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,616 : 260,269,508 = 260,269,508 : x
  2. Step 2: Convert to fraction form
    119,652,616/260,269,508 = 260,269,508/x
  3. Step 3: Cross multiply
    119,652,616x = 260,269,508 × 260,269,508
  4. Step 4: Simplify right side
    119,652,616x = 67,740,216,794,562,064
  5. Step 5: Solve for x
    x = 67,740,216,794,562,064/119,652,616
  6. Step 6: Final answer
    x = 566,140,708.49

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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.