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Finding the Third Proportional to 101,339,928 and 217,029,168

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Solution

The third proportional to 101,339,928 and 217,029,168 is: 464,788,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,339,928 : 217,029,168 = 217,029,168 : x
  2. Step 2: Convert to fraction form
    101,339,928/217,029,168 = 217,029,168/x
  3. Step 3: Cross multiply
    101,339,928x = 217,029,168 × 217,029,168
  4. Step 4: Simplify right side
    101,339,928x = 47,101,659,762,772,224
  5. Step 5: Solve for x
    x = 47,101,659,762,772,224/101,339,928
  6. Step 6: Final answer
    x = 464,788,762.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.