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Finding the Third Proportional to 83,146,731,904 and 170,701,324,560

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Solution

The third proportional to 83,146,731,904 and 170,701,324,560 is: 350,452,044,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,146,731,904 : 170,701,324,560 = 170,701,324,560 : x
  2. Step 2: Convert to fraction form
    83,146,731,904/170,701,324,560 = 170,701,324,560/x
  3. Step 3: Cross multiply
    83,146,731,904x = 170,701,324,560 × 170,701,324,560
  4. Step 4: Simplify right side
    83,146,731,904x = 29,138,942,206,538,460,168,192
  5. Step 5: Solve for x
    x = 29,138,942,206,538,460,168,192/83,146,731,904
  6. Step 6: Final answer
    x = 350,452,044,707.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.