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Finding the Third Proportional to 101,107,500.75 and 217,789,175.25

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Solution

The third proportional to 101,107,500.75 and 217,789,175.25 is: 469,125,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,107,500.75 : 217,789,175.25 = 217,789,175.25 : x
  2. Step 2: Convert to fraction form
    101,107,500.75/217,789,175.25 = 217,789,175.25/x
  3. Step 3: Cross multiply
    101,107,500.75x = 217,789,175.25 × 217,789,175.25
  4. Step 4: Simplify right side
    101,107,500.75x = 47,432,124,856,075,216
  5. Step 5: Solve for x
    x = 47,432,124,856,075,216/101,107,500.75
  6. Step 6: Final answer
    x = 469,125,678.16

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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.