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Finding the Third Proportional to 83,999.53 and 177,838.03

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Solution

The third proportional to 83,999.53 and 177,838.03 is: 376,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,999.53 : 177,838.03 = 177,838.03 : x
  2. Step 2: Convert to fraction form
    83,999.53/177,838.03 = 177,838.03/x
  3. Step 3: Cross multiply
    83,999.53x = 177,838.03 × 177,838.03
  4. Step 4: Simplify right side
    83,999.53x = 31,626,365,358.88
  5. Step 5: Solve for x
    x = 31,626,365,358.88/83,999.53
  6. Step 6: Final answer
    x = 376,506.45

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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.