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Finding the Third Proportional to 103,074,352.50 and 222,288,400.50

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Solution

The third proportional to 103,074,352.50 and 222,288,400.50 is: 479,383,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,074,352.50 : 222,288,400.50 = 222,288,400.50 : x
  2. Step 2: Convert to fraction form
    103,074,352.50/222,288,400.50 = 222,288,400.50/x
  3. Step 3: Cross multiply
    103,074,352.50x = 222,288,400.50 × 222,288,400.50
  4. Step 4: Simplify right side
    103,074,352.50x = 49,412,132,996,848,400
  5. Step 5: Solve for x
    x = 49,412,132,996,848,400/103,074,352.50
  6. Step 6: Final answer
    x = 479,383,394.59

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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.