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Finding the Third Proportional to 93,507.75 and 200,414.25

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Solution

The third proportional to 93,507.75 and 200,414.25 is: 429,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,507.75 : 200,414.25 = 200,414.25 : x
  2. Step 2: Convert to fraction form
    93,507.75/200,414.25 = 200,414.25/x
  3. Step 3: Cross multiply
    93,507.75x = 200,414.25 × 200,414.25
  4. Step 4: Simplify right side
    93,507.75x = 40,165,871,603.06
  5. Step 5: Solve for x
    x = 40,165,871,603.06/93,507.75
  6. Step 6: Final answer
    x = 429,545.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.