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Finding the Third Proportional to 119,652,876 and 260,270,174

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Solution

The third proportional to 119,652,876 and 260,270,174 is: 566,142,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,876 : 260,270,174 = 260,270,174 : x
  2. Step 2: Convert to fraction form
    119,652,876/260,270,174 = 260,270,174/x
  3. Step 3: Cross multiply
    119,652,876x = 260,270,174 × 260,270,174
  4. Step 4: Simplify right side
    119,652,876x = 67,740,563,473,990,272
  5. Step 5: Solve for x
    x = 67,740,563,473,990,272/119,652,876
  6. Step 6: Final answer
    x = 566,142,375.67

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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.