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Finding the Third Proportional to 41,547.94 and 91,403.44

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Solution

The third proportional to 41,547.94 and 91,403.44 is: 201,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547.94 : 91,403.44 = 91,403.44 : x
  2. Step 2: Convert to fraction form
    41,547.94/91,403.44 = 91,403.44/x
  3. Step 3: Cross multiply
    41,547.94x = 91,403.44 × 91,403.44
  4. Step 4: Simplify right side
    41,547.94x = 8,354,588,386.82
  5. Step 5: Solve for x
    x = 8,354,588,386.82/41,547.94
  6. Step 6: Final answer
    x = 201,083.11

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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.