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Finding the Third Proportional to 104,184,436 and 226,304,216

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Solution

The third proportional to 104,184,436 and 226,304,216 is: 491,566,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,184,436 : 226,304,216 = 226,304,216 : x
  2. Step 2: Convert to fraction form
    104,184,436/226,304,216 = 226,304,216/x
  3. Step 3: Cross multiply
    104,184,436x = 226,304,216 × 226,304,216
  4. Step 4: Simplify right side
    104,184,436x = 51,213,598,179,374,656
  5. Step 5: Solve for x
    x = 51,213,598,179,374,656/104,184,436
  6. Step 6: Final answer
    x = 491,566,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.