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Finding the Third Proportional to 101,176,836 and 217,699,000

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Solution

The third proportional to 101,176,836 and 217,699,000 is: 468,416,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,836 : 217,699,000 = 217,699,000 : x
  2. Step 2: Convert to fraction form
    101,176,836/217,699,000 = 217,699,000/x
  3. Step 3: Cross multiply
    101,176,836x = 217,699,000 × 217,699,000
  4. Step 4: Simplify right side
    101,176,836x = 47,392,854,601,000,000
  5. Step 5: Solve for x
    x = 47,392,854,601,000,000/101,176,836
  6. Step 6: Final answer
    x = 468,416,057.22

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