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Finding the Third Proportional to 93,966 and 197,158.13

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Solution

The third proportional to 93,966 and 197,158.13 is: 413,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,966 : 197,158.13 = 197,158.13 : x
  2. Step 2: Convert to fraction form
    93,966/197,158.13 = 197,158.13/x
  3. Step 3: Cross multiply
    93,966x = 197,158.13 × 197,158.13
  4. Step 4: Simplify right side
    93,966x = 38,871,326,253.52
  5. Step 5: Solve for x
    x = 38,871,326,253.52/93,966
  6. Step 6: Final answer
    x = 413,674.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.