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Finding the Third Proportional to 95,866,576 and 209,668,640

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Solution

The third proportional to 95,866,576 and 209,668,640 is: 458,563,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,866,576 : 209,668,640 = 209,668,640 : x
  2. Step 2: Convert to fraction form
    95,866,576/209,668,640 = 209,668,640/x
  3. Step 3: Cross multiply
    95,866,576x = 209,668,640 × 209,668,640
  4. Step 4: Simplify right side
    95,866,576x = 43,960,938,599,449,600
  5. Step 5: Solve for x
    x = 43,960,938,599,449,600/95,866,576
  6. Step 6: Final answer
    x = 458,563,770.96

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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.