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Finding the Third Proportional to 133,101.56 and 292,010.06

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Solution

The third proportional to 133,101.56 and 292,010.06 is: 640,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,101.56 : 292,010.06 = 292,010.06 : x
  2. Step 2: Convert to fraction form
    133,101.56/292,010.06 = 292,010.06/x
  3. Step 3: Cross multiply
    133,101.56x = 292,010.06 × 292,010.06
  4. Step 4: Simplify right side
    133,101.56x = 85,269,876,601.25
  5. Step 5: Solve for x
    x = 85,269,876,601.25/133,101.56
  6. Step 6: Final answer
    x = 640,637.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.