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Finding the Third Proportional to 96,260,780 and 207,866,632

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Solution

The third proportional to 96,260,780 and 207,866,632 is: 448,869,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,260,780 : 207,866,632 = 207,866,632 : x
  2. Step 2: Convert to fraction form
    96,260,780/207,866,632 = 207,866,632/x
  3. Step 3: Cross multiply
    96,260,780x = 207,866,632 × 207,866,632
  4. Step 4: Simplify right side
    96,260,780x = 43,208,536,699,023,424
  5. Step 5: Solve for x
    x = 43,208,536,699,023,424/96,260,780
  6. Step 6: Final answer
    x = 448,869,588.41

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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.