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Finding the Third Proportional to 186,186,724 and 391,668,620

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Solution

The third proportional to 186,186,724 and 391,668,620 is: 823,927,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,186,724 : 391,668,620 = 391,668,620 : x
  2. Step 2: Convert to fraction form
    186,186,724/391,668,620 = 391,668,620/x
  3. Step 3: Cross multiply
    186,186,724x = 391,668,620 × 391,668,620
  4. Step 4: Simplify right side
    186,186,724x = 153,404,307,892,704,384
  5. Step 5: Solve for x
    x = 153,404,307,892,704,384/186,186,724
  6. Step 6: Final answer
    x = 823,927,209.19

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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.