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Finding the Third Proportional to 119,652,250 and 260,268,740

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Solution

The third proportional to 119,652,250 and 260,268,740 is: 566,139,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,250 : 260,268,740 = 260,268,740 : x
  2. Step 2: Convert to fraction form
    119,652,250/260,268,740 = 260,268,740/x
  3. Step 3: Cross multiply
    119,652,250x = 260,268,740 × 260,268,740
  4. Step 4: Simplify right side
    119,652,250x = 67,739,817,021,187,600
  5. Step 5: Solve for x
    x = 67,739,817,021,187,600/119,652,250
  6. Step 6: Final answer
    x = 566,139,099.11

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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.