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Finding the Third Proportional to 46,780.88 and 102,309.75

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Solution

The third proportional to 46,780.88 and 102,309.75 is: 223,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780.88 : 102,309.75 = 102,309.75 : x
  2. Step 2: Convert to fraction form
    46,780.88/102,309.75 = 102,309.75/x
  3. Step 3: Cross multiply
    46,780.88x = 102,309.75 × 102,309.75
  4. Step 4: Simplify right side
    46,780.88x = 10,467,284,945.06
  5. Step 5: Solve for x
    x = 10,467,284,945.06/46,780.88
  6. Step 6: Final answer
    x = 223,751.37

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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.