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Finding the Third Proportional to 200,019.38 and 472,164.19

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Solution

The third proportional to 200,019.38 and 472,164.19 is: 1,114,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,019.38 : 472,164.19 = 472,164.19 : x
  2. Step 2: Convert to fraction form
    200,019.38/472,164.19 = 472,164.19/x
  3. Step 3: Cross multiply
    200,019.38x = 472,164.19 × 472,164.19
  4. Step 4: Simplify right side
    200,019.38x = 222,939,019,957.54
  5. Step 5: Solve for x
    x = 222,939,019,957.54/200,019.38
  6. Step 6: Final answer
    x = 1,114,587.12

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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.