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Finding the Third Proportional to 68,231,595 and 161,071,639.50

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Solution

The third proportional to 68,231,595 and 161,071,639.50 is: 380,235,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231,595 : 161,071,639.50 = 161,071,639.50 : x
  2. Step 2: Convert to fraction form
    68,231,595/161,071,639.50 = 161,071,639.50/x
  3. Step 3: Cross multiply
    68,231,595x = 161,071,639.50 × 161,071,639.50
  4. Step 4: Simplify right side
    68,231,595x = 25,944,073,051,217,960
  5. Step 5: Solve for x
    x = 25,944,073,051,217,960/68,231,595
  6. Step 6: Final answer
    x = 380,235,476.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.