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Finding the Third Proportional to 177,668,214.75 and 383,428,184.41

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Solution

The third proportional to 177,668,214.75 and 383,428,184.41 is: 827,481,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,668,214.75 : 383,428,184.41 = 383,428,184.41 : x
  2. Step 2: Convert to fraction form
    177,668,214.75/383,428,184.41 = 383,428,184.41/x
  3. Step 3: Cross multiply
    177,668,214.75x = 383,428,184.41 × 383,428,184.41
  4. Step 4: Simplify right side
    177,668,214.75x = 147,017,172,603,054,720
  5. Step 5: Solve for x
    x = 147,017,172,603,054,720/177,668,214.75
  6. Step 6: Final answer
    x = 827,481,566.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.