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Finding the Third Proportional to 101,110,938 and 217,841,285

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Solution

The third proportional to 101,110,938 and 217,841,285 is: 469,334,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,110,938 : 217,841,285 = 217,841,285 : x
  2. Step 2: Convert to fraction form
    101,110,938/217,841,285 = 217,841,285/x
  3. Step 3: Cross multiply
    101,110,938x = 217,841,285 × 217,841,285
  4. Step 4: Simplify right side
    101,110,938x = 47,454,825,450,451,224
  5. Step 5: Solve for x
    x = 47,454,825,450,451,224/101,110,938
  6. Step 6: Final answer
    x = 469,334,242.06

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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.