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Finding the Third Proportional to 216,372 and 472,110

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Solution

The third proportional to 216,372 and 472,110 is: 1,030,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,372 : 472,110 = 472,110 : x
  2. Step 2: Convert to fraction form
    216,372/472,110 = 472,110/x
  3. Step 3: Cross multiply
    216,372x = 472,110 × 472,110
  4. Step 4: Simplify right side
    216,372x = 222,887,852,100
  5. Step 5: Solve for x
    x = 222,887,852,100/216,372
  6. Step 6: Final answer
    x = 1,030,114.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.