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Finding the Third Proportional to 100,804.50 and 186,846.75

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Solution

The third proportional to 100,804.50 and 186,846.75 is: 346,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,804.50 : 186,846.75 = 186,846.75 : x
  2. Step 2: Convert to fraction form
    100,804.50/186,846.75 = 186,846.75/x
  3. Step 3: Cross multiply
    100,804.50x = 186,846.75 × 186,846.75
  4. Step 4: Simplify right side
    100,804.50x = 34,911,707,985.56
  5. Step 5: Solve for x
    x = 34,911,707,985.56/100,804.50
  6. Step 6: Final answer
    x = 346,330.85

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.