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Finding the Third Proportional to 177,788,678 and 267,156,346

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Solution

The third proportional to 177,788,678 and 267,156,346 is: 401,445,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788,678 : 267,156,346 = 267,156,346 : x
  2. Step 2: Convert to fraction form
    177,788,678/267,156,346 = 267,156,346/x
  3. Step 3: Cross multiply
    177,788,678x = 267,156,346 × 267,156,346
  4. Step 4: Simplify right side
    177,788,678x = 71,372,513,208,071,712
  5. Step 5: Solve for x
    x = 71,372,513,208,071,712/177,788,678
  6. Step 6: Final answer
    x = 401,445,772.65

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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.