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Finding the Third Proportional to 76,703,764 and 164,791,592

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Solution

The third proportional to 76,703,764 and 164,791,592 is: 354,040,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,703,764 : 164,791,592 = 164,791,592 : x
  2. Step 2: Convert to fraction form
    76,703,764/164,791,592 = 164,791,592/x
  3. Step 3: Cross multiply
    76,703,764x = 164,791,592 × 164,791,592
  4. Step 4: Simplify right side
    76,703,764x = 27,156,268,793,894,464
  5. Step 5: Solve for x
    x = 27,156,268,793,894,464/76,703,764
  6. Step 6: Final answer
    x = 354,040,888.97

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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.