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Finding the Third Proportional to 101,176,832 and 217,698,990

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Solution

The third proportional to 101,176,832 and 217,698,990 is: 468,416,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,832 : 217,698,990 = 217,698,990 : x
  2. Step 2: Convert to fraction form
    101,176,832/217,698,990 = 217,698,990/x
  3. Step 3: Cross multiply
    101,176,832x = 217,698,990 × 217,698,990
  4. Step 4: Simplify right side
    101,176,832x = 47,392,850,247,020,096
  5. Step 5: Solve for x
    x = 47,392,850,247,020,096/101,176,832
  6. Step 6: Final answer
    x = 468,416,032.70

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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.