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Finding the Third Proportional to 100,885,905 and 217,244,673

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Solution

The third proportional to 100,885,905 and 217,244,673 is: 467,808,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,885,905 : 217,244,673 = 217,244,673 : x
  2. Step 2: Convert to fraction form
    100,885,905/217,244,673 = 217,244,673/x
  3. Step 3: Cross multiply
    100,885,905x = 217,244,673 × 217,244,673
  4. Step 4: Simplify right side
    100,885,905x = 47,195,247,946,876,928
  5. Step 5: Solve for x
    x = 47,195,247,946,876,928/100,885,905
  6. Step 6: Final answer
    x = 467,808,143.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.