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Finding the Third Proportional to 222,801.75 and 463,963.50

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Solution

The third proportional to 222,801.75 and 463,963.50 is: 966,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,801.75 : 463,963.50 = 463,963.50 : x
  2. Step 2: Convert to fraction form
    222,801.75/463,963.50 = 463,963.50/x
  3. Step 3: Cross multiply
    222,801.75x = 463,963.50 × 463,963.50
  4. Step 4: Simplify right side
    222,801.75x = 215,262,129,332.25
  5. Step 5: Solve for x
    x = 215,262,129,332.25/222,801.75
  6. Step 6: Final answer
    x = 966,159.96

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.