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Finding the Third Proportional to 95,866,344 and 209,668,176

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Solution

The third proportional to 95,866,344 and 209,668,176 is: 458,562,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,866,344 : 209,668,176 = 209,668,176 : x
  2. Step 2: Convert to fraction form
    95,866,344/209,668,176 = 209,668,176/x
  3. Step 3: Cross multiply
    95,866,344x = 209,668,176 × 209,668,176
  4. Step 4: Simplify right side
    95,866,344x = 43,960,744,027,166,976
  5. Step 5: Solve for x
    x = 43,960,744,027,166,976/95,866,344
  6. Step 6: Final answer
    x = 458,562,851.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.