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Finding the Third Proportional to 101,176,834 and 217,698,996

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Solution

The third proportional to 101,176,834 and 217,698,996 is: 468,416,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,834 : 217,698,996 = 217,698,996 : x
  2. Step 2: Convert to fraction form
    101,176,834/217,698,996 = 217,698,996/x
  3. Step 3: Cross multiply
    101,176,834x = 217,698,996 × 217,698,996
  4. Step 4: Simplify right side
    101,176,834x = 47,392,852,859,408,016
  5. Step 5: Solve for x
    x = 47,392,852,859,408,016/101,176,834
  6. Step 6: Final answer
    x = 468,416,049.26

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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.