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Finding the Third Proportional to 68,429,323.13 and 141,709,138.88

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Solution

The third proportional to 68,429,323.13 and 141,709,138.88 is: 293,463,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,429,323.13 : 141,709,138.88 = 141,709,138.88 : x
  2. Step 2: Convert to fraction form
    68,429,323.13/141,709,138.88 = 141,709,138.88/x
  3. Step 3: Cross multiply
    68,429,323.13x = 141,709,138.88 × 141,709,138.88
  4. Step 4: Simplify right side
    68,429,323.13x = 20,081,480,040,694,036
  5. Step 5: Solve for x
    x = 20,081,480,040,694,036/68,429,323.13
  6. Step 6: Final answer
    x = 293,463,081.67

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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.