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Finding the Third Proportional to 101,590,849.50 and 222,590,367.75

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Solution

The third proportional to 101,590,849.50 and 222,590,367.75 is: 487,706,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,590,849.50 : 222,590,367.75 = 222,590,367.75 : x
  2. Step 2: Convert to fraction form
    101,590,849.50/222,590,367.75 = 222,590,367.75/x
  3. Step 3: Cross multiply
    101,590,849.50x = 222,590,367.75 × 222,590,367.75
  4. Step 4: Simplify right side
    101,590,849.50x = 49,546,471,815,080,240
  5. Step 5: Solve for x
    x = 49,546,471,815,080,240/101,590,849.50
  6. Step 6: Final answer
    x = 487,706,048.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.