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Finding the Third Proportional to 103,795.17 and 226,977.19

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Solution

The third proportional to 103,795.17 and 226,977.19 is: 496,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,795.17 : 226,977.19 = 226,977.19 : x
  2. Step 2: Convert to fraction form
    103,795.17/226,977.19 = 226,977.19/x
  3. Step 3: Cross multiply
    103,795.17x = 226,977.19 × 226,977.19
  4. Step 4: Simplify right side
    103,795.17x = 51,518,643,645.41
  5. Step 5: Solve for x
    x = 51,518,643,645.41/103,795.17
  6. Step 6: Final answer
    x = 496,349.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.