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Finding the Third Proportional to 96,756,984 and 208,906,128

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Solution

The third proportional to 96,756,984 and 208,906,128 is: 451,045,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,756,984 : 208,906,128 = 208,906,128 : x
  2. Step 2: Convert to fraction form
    96,756,984/208,906,128 = 208,906,128/x
  3. Step 3: Cross multiply
    96,756,984x = 208,906,128 × 208,906,128
  4. Step 4: Simplify right side
    96,756,984x = 43,641,770,315,952,384
  5. Step 5: Solve for x
    x = 43,641,770,315,952,384/96,756,984
  6. Step 6: Final answer
    x = 451,045,170.20

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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.