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Finding the Third Proportional to 222,802.88 and 463,964.63

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Solution

The third proportional to 222,802.88 and 463,964.63 is: 966,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,802.88 : 463,964.63 = 463,964.63 : x
  2. Step 2: Convert to fraction form
    222,802.88/463,964.63 = 463,964.63/x
  3. Step 3: Cross multiply
    222,802.88x = 463,964.63 × 463,964.63
  4. Step 4: Simplify right side
    222,802.88x = 215,263,173,251.39
  5. Step 5: Solve for x
    x = 215,263,173,251.39/222,802.88
  6. Step 6: Final answer
    x = 966,159.76

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Why These Related Problems?

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