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Finding the Third Proportional to 136,164,707,847 and 297,979,861,884.75

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Solution

The third proportional to 136,164,707,847 and 297,979,861,884.75 is: 652,092,597,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,164,707,847 : 297,979,861,884.75 = 297,979,861,884.75 : x
  2. Step 2: Convert to fraction form
    136,164,707,847/297,979,861,884.75 = 297,979,861,884.75/x
  3. Step 3: Cross multiply
    136,164,707,847x = 297,979,861,884.75 × 297,979,861,884.75
  4. Step 4: Simplify right side
    136,164,707,847x = 88,791,998,088,854,689,021,952
  5. Step 5: Solve for x
    x = 88,791,998,088,854,689,021,952/136,164,707,847
  6. Step 6: Final answer
    x = 652,092,597,948.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.