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Finding the Third Proportional to 94,829.09 and 203,151.80

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Solution

The third proportional to 94,829.09 and 203,151.80 is: 435,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,829.09 : 203,151.80 = 203,151.80 : x
  2. Step 2: Convert to fraction form
    94,829.09/203,151.80 = 203,151.80/x
  3. Step 3: Cross multiply
    94,829.09x = 203,151.80 × 203,151.80
  4. Step 4: Simplify right side
    94,829.09x = 41,270,652,573.54
  5. Step 5: Solve for x
    x = 41,270,652,573.54/94,829.09
  6. Step 6: Final answer
    x = 435,210.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.