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Finding the Third Proportional to 96,758,332 and 208,908,812

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Solution

The third proportional to 96,758,332 and 208,908,812 is: 451,050,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,758,332 : 208,908,812 = 208,908,812 : x
  2. Step 2: Convert to fraction form
    96,758,332/208,908,812 = 208,908,812/x
  3. Step 3: Cross multiply
    96,758,332x = 208,908,812 × 208,908,812
  4. Step 4: Simplify right side
    96,758,332x = 43,642,891,731,251,344
  5. Step 5: Solve for x
    x = 43,642,891,731,251,344/96,758,332
  6. Step 6: Final answer
    x = 451,050,476.27

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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.