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Finding the Third Proportional to 96,756,986 and 208,906,132

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Solution

The third proportional to 96,756,986 and 208,906,132 is: 451,045,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,756,986 : 208,906,132 = 208,906,132 : x
  2. Step 2: Convert to fraction form
    96,756,986/208,906,132 = 208,906,132/x
  3. Step 3: Cross multiply
    96,756,986x = 208,906,132 × 208,906,132
  4. Step 4: Simplify right side
    96,756,986x = 43,641,771,987,201,424
  5. Step 5: Solve for x
    x = 43,641,771,987,201,424/96,756,986
  6. Step 6: Final answer
    x = 451,045,178.15

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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.