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Finding the Third Proportional to 101,930.63 and 146,820.94

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Solution

The third proportional to 101,930.63 and 146,820.94 is: 211,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,930.63 : 146,820.94 = 146,820.94 : x
  2. Step 2: Convert to fraction form
    101,930.63/146,820.94 = 146,820.94/x
  3. Step 3: Cross multiply
    101,930.63x = 146,820.94 × 146,820.94
  4. Step 4: Simplify right side
    101,930.63x = 21,556,387,688.38
  5. Step 5: Solve for x
    x = 21,556,387,688.38/101,930.63
  6. Step 6: Final answer
    x = 211,480.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.