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Finding the Third Proportional to 179,971,880 and 268,778,478

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Solution

The third proportional to 179,971,880 and 268,778,478 is: 401,406,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971,880 : 268,778,478 = 268,778,478 : x
  2. Step 2: Convert to fraction form
    179,971,880/268,778,478 = 268,778,478/x
  3. Step 3: Cross multiply
    179,971,880x = 268,778,478 × 268,778,478
  4. Step 4: Simplify right side
    179,971,880x = 72,241,870,235,996,480
  5. Step 5: Solve for x
    x = 72,241,870,235,996,480/179,971,880
  6. Step 6: Final answer
    x = 401,406,432.14

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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.