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Finding the Third Proportional to 83,304,106 and 179,409,747

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Solution

The third proportional to 83,304,106 and 179,409,747 is: 386,389,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,304,106 : 179,409,747 = 179,409,747 : x
  2. Step 2: Convert to fraction form
    83,304,106/179,409,747 = 179,409,747/x
  3. Step 3: Cross multiply
    83,304,106x = 179,409,747 × 179,409,747
  4. Step 4: Simplify right side
    83,304,106x = 32,187,857,318,604,008
  5. Step 5: Solve for x
    x = 32,187,857,318,604,008/83,304,106
  6. Step 6: Final answer
    x = 386,389,805.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.