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Finding the Third Proportional to 92,820.94 and 223,533.84

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Solution

The third proportional to 92,820.94 and 223,533.84 is: 538,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,820.94 : 223,533.84 = 223,533.84 : x
  2. Step 2: Convert to fraction form
    92,820.94/223,533.84 = 223,533.84/x
  3. Step 3: Cross multiply
    92,820.94x = 223,533.84 × 223,533.84
  4. Step 4: Simplify right side
    92,820.94x = 49,967,379,301.65
  5. Step 5: Solve for x
    x = 49,967,379,301.65/92,820.94
  6. Step 6: Final answer
    x = 538,320.13

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.