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Finding the Third Proportional to 197,893.13 and 466,689.09

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Solution

The third proportional to 197,893.13 and 466,689.09 is: 1,100,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,893.13 : 466,689.09 = 466,689.09 : x
  2. Step 2: Convert to fraction form
    197,893.13/466,689.09 = 466,689.09/x
  3. Step 3: Cross multiply
    197,893.13x = 466,689.09 × 466,689.09
  4. Step 4: Simplify right side
    197,893.13x = 217,798,710,225.20
  5. Step 5: Solve for x
    x = 217,798,710,225.20/197,893.13
  6. Step 6: Final answer
    x = 1,100,587.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.