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Finding the Third Proportional to 97,090.50 and 207,672.75

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Solution

The third proportional to 97,090.50 and 207,672.75 is: 444,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,090.50 : 207,672.75 = 207,672.75 : x
  2. Step 2: Convert to fraction form
    97,090.50/207,672.75 = 207,672.75/x
  3. Step 3: Cross multiply
    97,090.50x = 207,672.75 × 207,672.75
  4. Step 4: Simplify right side
    97,090.50x = 43,127,971,092.56
  5. Step 5: Solve for x
    x = 43,127,971,092.56/97,090.50
  6. Step 6: Final answer
    x = 444,203.82

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