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Finding the Third Proportional to 101,176,826 and 217,698,980

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Solution

The third proportional to 101,176,826 and 217,698,980 is: 468,416,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,826 : 217,698,980 = 217,698,980 : x
  2. Step 2: Convert to fraction form
    101,176,826/217,698,980 = 217,698,980/x
  3. Step 3: Cross multiply
    101,176,826x = 217,698,980 × 217,698,980
  4. Step 4: Simplify right side
    101,176,826x = 47,392,845,893,040,400
  5. Step 5: Solve for x
    x = 47,392,845,893,040,400/101,176,826
  6. Step 6: Final answer
    x = 468,416,017.45

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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.