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Finding the Third Proportional to 90,689.63 and 197,508.38

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Solution

The third proportional to 90,689.63 and 197,508.38 is: 430,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,689.63 : 197,508.38 = 197,508.38 : x
  2. Step 2: Convert to fraction form
    90,689.63/197,508.38 = 197,508.38/x
  3. Step 3: Cross multiply
    90,689.63x = 197,508.38 × 197,508.38
  4. Step 4: Simplify right side
    90,689.63x = 39,009,558,195.14
  5. Step 5: Solve for x
    x = 39,009,558,195.14/90,689.63
  6. Step 6: Final answer
    x = 430,143.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.