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Finding the Third Proportional to 101,026,523.25 and 218,219,350.50

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Solution

The third proportional to 101,026,523.25 and 218,219,350.50 is: 471,358,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,523.25 : 218,219,350.50 = 218,219,350.50 : x
  2. Step 2: Convert to fraction form
    101,026,523.25/218,219,350.50 = 218,219,350.50/x
  3. Step 3: Cross multiply
    101,026,523.25x = 218,219,350.50 × 218,219,350.50
  4. Step 4: Simplify right side
    101,026,523.25x = 47,619,684,932,641,848
  5. Step 5: Solve for x
    x = 47,619,684,932,641,848/101,026,523.25
  6. Step 6: Final answer
    x = 471,358,247.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.