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Finding the Third Proportional to 68,421,771 and 141,694,069.50

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Solution

The third proportional to 68,421,771 and 141,694,069.50 is: 293,433,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,421,771 : 141,694,069.50 = 141,694,069.50 : x
  2. Step 2: Convert to fraction form
    68,421,771/141,694,069.50 = 141,694,069.50/x
  3. Step 3: Cross multiply
    68,421,771x = 141,694,069.50 × 141,694,069.50
  4. Step 4: Simplify right side
    68,421,771x = 20,077,209,331,470,832
  5. Step 5: Solve for x
    x = 20,077,209,331,470,832/68,421,771
  6. Step 6: Final answer
    x = 293,433,055.56

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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.