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Finding the Third Proportional to 68,429,385 and 141,709,266

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Solution

The third proportional to 68,429,385 and 141,709,266 is: 293,463,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,429,385 : 141,709,266 = 141,709,266 : x
  2. Step 2: Convert to fraction form
    68,429,385/141,709,266 = 141,709,266/x
  3. Step 3: Cross multiply
    68,429,385x = 141,709,266 × 141,709,266
  4. Step 4: Simplify right side
    68,429,385x = 20,081,516,070,258,756
  5. Step 5: Solve for x
    x = 20,081,516,070,258,756/68,429,385
  6. Step 6: Final answer
    x = 293,463,342.84

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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.