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Finding the Third Proportional to 229,814,326 and 491,479,148

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Solution

The third proportional to 229,814,326 and 491,479,148 is: 1,051,073,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,814,326 : 491,479,148 = 491,479,148 : x
  2. Step 2: Convert to fraction form
    229,814,326/491,479,148 = 491,479,148/x
  3. Step 3: Cross multiply
    229,814,326x = 491,479,148 × 491,479,148
  4. Step 4: Simplify right side
    229,814,326x = 241,551,752,918,805,888
  5. Step 5: Solve for x
    x = 241,551,752,918,805,888/229,814,326
  6. Step 6: Final answer
    x = 1,051,073,521.49

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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.