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Finding the Third Proportional to 105,738,806 and 161,647,389

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Solution

The third proportional to 105,738,806 and 161,647,389 is: 247,117,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738,806 : 161,647,389 = 161,647,389 : x
  2. Step 2: Convert to fraction form
    105,738,806/161,647,389 = 161,647,389/x
  3. Step 3: Cross multiply
    105,738,806x = 161,647,389 × 161,647,389
  4. Step 4: Simplify right side
    105,738,806x = 26,129,878,370,517,320
  5. Step 5: Solve for x
    x = 26,129,878,370,517,320/105,738,806
  6. Step 6: Final answer
    x = 247,117,206.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.