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Finding the Third Proportional to 186,186,720 and 391,668,612

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Solution

The third proportional to 186,186,720 and 391,668,612 is: 823,927,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,186,720 : 391,668,612 = 391,668,612 : x
  2. Step 2: Convert to fraction form
    186,186,720/391,668,612 = 391,668,612/x
  3. Step 3: Cross multiply
    186,186,720x = 391,668,612 × 391,668,612
  4. Step 4: Simplify right side
    186,186,720x = 153,404,301,626,006,528
  5. Step 5: Solve for x
    x = 153,404,301,626,006,528/186,186,720
  6. Step 6: Final answer
    x = 823,927,193.23

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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.