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Finding the Third Proportional to 179,971,876 and 268,778,472

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Solution

The third proportional to 179,971,876 and 268,778,472 is: 401,406,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971,876 : 268,778,472 = 268,778,472 : x
  2. Step 2: Convert to fraction form
    179,971,876/268,778,472 = 268,778,472/x
  3. Step 3: Cross multiply
    179,971,876x = 268,778,472 × 268,778,472
  4. Step 4: Simplify right side
    179,971,876x = 72,241,867,010,654,784
  5. Step 5: Solve for x
    x = 72,241,867,010,654,784/179,971,876
  6. Step 6: Final answer
    x = 401,406,423.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.