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Finding the Third Proportional to 45,319.50 and 104,900.06

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Solution

The third proportional to 45,319.50 and 104,900.06 is: 242,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,319.50 : 104,900.06 = 104,900.06 : x
  2. Step 2: Convert to fraction form
    45,319.50/104,900.06 = 104,900.06/x
  3. Step 3: Cross multiply
    45,319.50x = 104,900.06 × 104,900.06
  4. Step 4: Simplify right side
    45,319.50x = 11,004,023,112.50
  5. Step 5: Solve for x
    x = 11,004,023,112.50/45,319.50
  6. Step 6: Final answer
    x = 242,809.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.