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Finding the Third Proportional to 77,731,876 and 167,232,584

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Solution

The third proportional to 77,731,876 and 167,232,584 is: 359,784,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,731,876 : 167,232,584 = 167,232,584 : x
  2. Step 2: Convert to fraction form
    77,731,876/167,232,584 = 167,232,584/x
  3. Step 3: Cross multiply
    77,731,876x = 167,232,584 × 167,232,584
  4. Step 4: Simplify right side
    77,731,876x = 27,966,737,151,317,056
  5. Step 5: Solve for x
    x = 27,966,737,151,317,056/77,731,876
  6. Step 6: Final answer
    x = 359,784,667.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.