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Finding the Third Proportional to 108,263,974.25 and 222,267,350.50

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Solution

The third proportional to 108,263,974.25 and 222,267,350.50 is: 456,317,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,263,974.25 : 222,267,350.50 = 222,267,350.50 : x
  2. Step 2: Convert to fraction form
    108,263,974.25/222,267,350.50 = 222,267,350.50/x
  3. Step 3: Cross multiply
    108,263,974.25x = 222,267,350.50 × 222,267,350.50
  4. Step 4: Simplify right side
    108,263,974.25x = 49,402,775,098,289,848
  5. Step 5: Solve for x
    x = 49,402,775,098,289,848/108,263,974.25
  6. Step 6: Final answer
    x = 456,317,768.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.