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Finding the Third Proportional to 46,178.50 and 99,420

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Solution

The third proportional to 46,178.50 and 99,420 is: 214,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178.50 : 99,420 = 99,420 : x
  2. Step 2: Convert to fraction form
    46,178.50/99,420 = 99,420/x
  3. Step 3: Cross multiply
    46,178.50x = 99,420 × 99,420
  4. Step 4: Simplify right side
    46,178.50x = 9,884,336,400
  5. Step 5: Solve for x
    x = 9,884,336,400/46,178.50
  6. Step 6: Final answer
    x = 214,046.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.