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Finding the Third Proportional to 96,203 and 147,994.50

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Solution

The third proportional to 96,203 and 147,994.50 is: 227,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,203 : 147,994.50 = 147,994.50 : x
  2. Step 2: Convert to fraction form
    96,203/147,994.50 = 147,994.50/x
  3. Step 3: Cross multiply
    96,203x = 147,994.50 × 147,994.50
  4. Step 4: Simplify right side
    96,203x = 21,902,372,030.25
  5. Step 5: Solve for x
    x = 21,902,372,030.25/96,203
  6. Step 6: Final answer
    x = 227,668.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.