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Finding the Third Proportional to 177,788,968 and 267,156,789

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Solution

The third proportional to 177,788,968 and 267,156,789 is: 401,446,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788,968 : 267,156,789 = 267,156,789 : x
  2. Step 2: Convert to fraction form
    177,788,968/267,156,789 = 267,156,789/x
  3. Step 3: Cross multiply
    177,788,968x = 267,156,789 × 267,156,789
  4. Step 4: Simplify right side
    177,788,968x = 71,372,749,908,790,520
  5. Step 5: Solve for x
    x = 71,372,749,908,790,520/177,788,968
  6. Step 6: Final answer
    x = 401,446,449.19

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