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Finding the Third Proportional to 46,815.19 and 102,388.78

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Solution

The third proportional to 46,815.19 and 102,388.78 is: 223,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,815.19 : 102,388.78 = 102,388.78 : x
  2. Step 2: Convert to fraction form
    46,815.19/102,388.78 = 102,388.78/x
  3. Step 3: Cross multiply
    46,815.19x = 102,388.78 × 102,388.78
  4. Step 4: Simplify right side
    46,815.19x = 10,483,462,525.86
  5. Step 5: Solve for x
    x = 10,483,462,525.86/46,815.19
  6. Step 6: Final answer
    x = 223,932.94

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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.