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Finding the Third Proportional to 105,284,675 and 227,216,326

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Solution

The third proportional to 105,284,675 and 227,216,326 is: 490,358,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,284,675 : 227,216,326 = 227,216,326 : x
  2. Step 2: Convert to fraction form
    105,284,675/227,216,326 = 227,216,326/x
  3. Step 3: Cross multiply
    105,284,675x = 227,216,326 × 227,216,326
  4. Step 4: Simplify right side
    105,284,675x = 51,627,258,800,938,272
  5. Step 5: Solve for x
    x = 51,627,258,800,938,272/105,284,675
  6. Step 6: Final answer
    x = 490,358,723.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.