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Finding the Third Proportional to 96,439,263 and 211,607,670

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Solution

The third proportional to 96,439,263 and 211,607,670 is: 464,310,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,439,263 : 211,607,670 = 211,607,670 : x
  2. Step 2: Convert to fraction form
    96,439,263/211,607,670 = 211,607,670/x
  3. Step 3: Cross multiply
    96,439,263x = 211,607,670 × 211,607,670
  4. Step 4: Simplify right side
    96,439,263x = 44,777,806,002,828,896
  5. Step 5: Solve for x
    x = 44,777,806,002,828,896/96,439,263
  6. Step 6: Final answer
    x = 464,310,951.89

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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.