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Finding the Third Proportional to 177,788,878 and 267,156,650

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Solution

The third proportional to 177,788,878 and 267,156,650 is: 401,446,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788,878 : 267,156,650 = 267,156,650 : x
  2. Step 2: Convert to fraction form
    177,788,878/267,156,650 = 267,156,650/x
  3. Step 3: Cross multiply
    177,788,878x = 267,156,650 × 267,156,650
  4. Step 4: Simplify right side
    177,788,878x = 71,372,675,639,222,496
  5. Step 5: Solve for x
    x = 71,372,675,639,222,496/177,788,878
  6. Step 6: Final answer
    x = 401,446,234.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.