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Finding the Third Proportional to 118,594.13 and 188,616.94

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Solution

The third proportional to 118,594.13 and 188,616.94 is: 299,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,594.13 : 188,616.94 = 188,616.94 : x
  2. Step 2: Convert to fraction form
    118,594.13/188,616.94 = 188,616.94/x
  3. Step 3: Cross multiply
    118,594.13x = 188,616.94 × 188,616.94
  4. Step 4: Simplify right side
    118,594.13x = 35,576,349,111.88
  5. Step 5: Solve for x
    x = 35,576,349,111.88/118,594.13
  6. Step 6: Final answer
    x = 299,984.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.