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Finding the Third Proportional to 89,079,836 and 186,304,464

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Solution

The third proportional to 89,079,836 and 186,304,464 is: 389,643,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,079,836 : 186,304,464 = 186,304,464 : x
  2. Step 2: Convert to fraction form
    89,079,836/186,304,464 = 186,304,464/x
  3. Step 3: Cross multiply
    89,079,836x = 186,304,464 × 186,304,464
  4. Step 4: Simplify right side
    89,079,836x = 34,709,353,306,327,296
  5. Step 5: Solve for x
    x = 34,709,353,306,327,296/89,079,836
  6. Step 6: Final answer
    x = 389,643,210.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.