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Finding the Third Proportional to 91,964 and 197,047

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Solution

The third proportional to 91,964 and 197,047 is: 422,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,964 : 197,047 = 197,047 : x
  2. Step 2: Convert to fraction form
    91,964/197,047 = 197,047/x
  3. Step 3: Cross multiply
    91,964x = 197,047 × 197,047
  4. Step 4: Simplify right side
    91,964x = 38,827,520,209
  5. Step 5: Solve for x
    x = 38,827,520,209/91,964
  6. Step 6: Final answer
    x = 422,203.47

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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.