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Finding the Third Proportional to 68,421,763.13 and 141,694,051.78

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Solution

The third proportional to 68,421,763.13 and 141,694,051.78 is: 293,433,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,421,763.13 : 141,694,051.78 = 141,694,051.78 : x
  2. Step 2: Convert to fraction form
    68,421,763.13/141,694,051.78 = 141,694,051.78/x
  3. Step 3: Cross multiply
    68,421,763.13x = 141,694,051.78 × 141,694,051.78
  4. Step 4: Simplify right side
    68,421,763.13x = 20,077,204,310,187,556
  5. Step 5: Solve for x
    x = 20,077,204,310,187,556/68,421,763.13
  6. Step 6: Final answer
    x = 293,433,015.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.