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Finding the Third Proportional to 186,267,863.25 and 391,842,562.50

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Solution

The third proportional to 186,267,863.25 and 391,842,562.50 is: 824,299,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,267,863.25 : 391,842,562.50 = 391,842,562.50 : x
  2. Step 2: Convert to fraction form
    186,267,863.25/391,842,562.50 = 391,842,562.50/x
  3. Step 3: Cross multiply
    186,267,863.25x = 391,842,562.50 × 391,842,562.50
  4. Step 4: Simplify right side
    186,267,863.25x = 153,540,593,786,566,400
  5. Step 5: Solve for x
    x = 153,540,593,786,566,400/186,267,863.25
  6. Step 6: Final answer
    x = 824,299,968.38

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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.