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Finding the Third Proportional to 83,146,730,013 and 170,701,310,408.62

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Solution

The third proportional to 83,146,730,013 and 170,701,310,408.62 is: 350,451,994,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,146,730,013 : 170,701,310,408.62 = 170,701,310,408.62 : x
  2. Step 2: Convert to fraction form
    83,146,730,013/170,701,310,408.62 = 170,701,310,408.62/x
  3. Step 3: Cross multiply
    83,146,730,013x = 170,701,310,408.62 × 170,701,310,408.62
  4. Step 4: Simplify right side
    83,146,730,013x = 29,138,937,375,220,035,485,696
  5. Step 5: Solve for x
    x = 29,138,937,375,220,035,485,696/83,146,730,013
  6. Step 6: Final answer
    x = 350,451,994,572.30

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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.