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Finding the Third Proportional to 83,146,730,017 and 170,701,310,417

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Solution

The third proportional to 83,146,730,017 and 170,701,310,417 is: 350,451,994,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,146,730,017 : 170,701,310,417 = 170,701,310,417 : x
  2. Step 2: Convert to fraction form
    83,146,730,017/170,701,310,417 = 170,701,310,417/x
  3. Step 3: Cross multiply
    83,146,730,017x = 170,701,310,417 × 170,701,310,417
  4. Step 4: Simplify right side
    83,146,730,017x = 29,138,937,378,080,991,215,616
  5. Step 5: Solve for x
    x = 29,138,937,378,080,991,215,616/83,146,730,017
  6. Step 6: Final answer
    x = 350,451,994,589.85

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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.