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Finding the Third Proportional to 101,176,822 and 217,698,972

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Solution

The third proportional to 101,176,822 and 217,698,972 is: 468,416,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,822 : 217,698,972 = 217,698,972 : x
  2. Step 2: Convert to fraction form
    101,176,822/217,698,972 = 217,698,972/x
  3. Step 3: Cross multiply
    101,176,822x = 217,698,972 × 217,698,972
  4. Step 4: Simplify right side
    101,176,822x = 47,392,842,409,856,784
  5. Step 5: Solve for x
    x = 47,392,842,409,856,784/101,176,822
  6. Step 6: Final answer
    x = 468,416,001.54

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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.