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Finding the Third Proportional to 42,308.47 and 92,921.22

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Solution

The third proportional to 42,308.47 and 92,921.22 is: 204,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,308.47 : 92,921.22 = 92,921.22 : x
  2. Step 2: Convert to fraction form
    42,308.47/92,921.22 = 92,921.22/x
  3. Step 3: Cross multiply
    42,308.47x = 92,921.22 × 92,921.22
  4. Step 4: Simplify right side
    42,308.47x = 8,634,352,893.99
  5. Step 5: Solve for x
    x = 8,634,352,893.99/42,308.47
  6. Step 6: Final answer
    x = 204,080.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.