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Finding the Third Proportional to 105,165 and 229,604.63

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Solution

The third proportional to 105,165 and 229,604.63 is: 501,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,165 : 229,604.63 = 229,604.63 : x
  2. Step 2: Convert to fraction form
    105,165/229,604.63 = 229,604.63/x
  3. Step 3: Cross multiply
    105,165x = 229,604.63 × 229,604.63
  4. Step 4: Simplify right side
    105,165x = 52,718,283,821.39
  5. Step 5: Solve for x
    x = 52,718,283,821.39/105,165
  6. Step 6: Final answer
    x = 501,291.15

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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.