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Finding the Third Proportional to 136,164,707,942 and 297,979,862,074

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Solution

The third proportional to 136,164,707,942 and 297,979,862,074 is: 652,092,598,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,164,707,942 : 297,979,862,074 = 297,979,862,074 : x
  2. Step 2: Convert to fraction form
    136,164,707,942/297,979,862,074 = 297,979,862,074/x
  3. Step 3: Cross multiply
    136,164,707,942x = 297,979,862,074 × 297,979,862,074
  4. Step 4: Simplify right side
    136,164,707,942x = 88,791,998,201,640,060,452,864
  5. Step 5: Solve for x
    x = 88,791,998,201,640,060,452,864/136,164,707,942
  6. Step 6: Final answer
    x = 652,092,598,321.89

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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.