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Finding the Third Proportional to 104,184,440 and 226,304,224

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Solution

The third proportional to 104,184,440 and 226,304,224 is: 491,566,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,184,440 : 226,304,224 = 226,304,224 : x
  2. Step 2: Convert to fraction form
    104,184,440/226,304,224 = 226,304,224/x
  3. Step 3: Cross multiply
    104,184,440x = 226,304,224 × 226,304,224
  4. Step 4: Simplify right side
    104,184,440x = 51,213,601,800,242,176
  5. Step 5: Solve for x
    x = 51,213,601,800,242,176/104,184,440
  6. Step 6: Final answer
    x = 491,566,704.20

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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.