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Finding the Third Proportional to 186,267,865 and 391,842,567

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Solution

The third proportional to 186,267,865 and 391,842,567 is: 824,299,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,267,865 : 391,842,567 = 391,842,567 : x
  2. Step 2: Convert to fraction form
    186,267,865/391,842,567 = 391,842,567/x
  3. Step 3: Cross multiply
    186,267,865x = 391,842,567 × 391,842,567
  4. Step 4: Simplify right side
    186,267,865x = 153,540,597,313,149,504
  5. Step 5: Solve for x
    x = 153,540,597,313,149,504/186,267,865
  6. Step 6: Final answer
    x = 824,299,979.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.