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Finding the Third Proportional to 94,898.25 and 202,091.63

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Solution

The third proportional to 94,898.25 and 202,091.63 is: 430,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,898.25 : 202,091.63 = 202,091.63 : x
  2. Step 2: Convert to fraction form
    94,898.25/202,091.63 = 202,091.63/x
  3. Step 3: Cross multiply
    94,898.25x = 202,091.63 × 202,091.63
  4. Step 4: Simplify right side
    94,898.25x = 40,841,024,895.14
  5. Step 5: Solve for x
    x = 40,841,024,895.14/94,898.25
  6. Step 6: Final answer
    x = 430,366.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.