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Finding the Third Proportional to 109,448.50 and 232,076.25

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Solution

The third proportional to 109,448.50 and 232,076.25 is: 492,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,448.50 : 232,076.25 = 232,076.25 : x
  2. Step 2: Convert to fraction form
    109,448.50/232,076.25 = 232,076.25/x
  3. Step 3: Cross multiply
    109,448.50x = 232,076.25 × 232,076.25
  4. Step 4: Simplify right side
    109,448.50x = 53,859,385,814.06
  5. Step 5: Solve for x
    x = 53,859,385,814.06/109,448.50
  6. Step 6: Final answer
    x = 492,097.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.