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Finding the Third Proportional to 186,697,241 and 269,722,048

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Solution

The third proportional to 186,697,241 and 269,722,048 is: 389,668,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,697,241 : 269,722,048 = 269,722,048 : x
  2. Step 2: Convert to fraction form
    186,697,241/269,722,048 = 269,722,048/x
  3. Step 3: Cross multiply
    186,697,241x = 269,722,048 × 269,722,048
  4. Step 4: Simplify right side
    186,697,241x = 72,749,983,177,314,304
  5. Step 5: Solve for x
    x = 72,749,983,177,314,304/186,697,241
  6. Step 6: Final answer
    x = 389,668,228.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.