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Finding the Third Proportional to 229,814,324 and 491,479,144

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Solution

The third proportional to 229,814,324 and 491,479,144 is: 1,051,073,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,814,324 : 491,479,144 = 491,479,144 : x
  2. Step 2: Convert to fraction form
    229,814,324/491,479,144 = 491,479,144/x
  3. Step 3: Cross multiply
    229,814,324x = 491,479,144 × 491,479,144
  4. Step 4: Simplify right side
    229,814,324x = 241,551,748,986,972,736
  5. Step 5: Solve for x
    x = 241,551,748,986,972,736/229,814,324
  6. Step 6: Final answer
    x = 1,051,073,513.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.