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Finding the Third Proportional to 91,030 and 196,964

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Solution

The third proportional to 91,030 and 196,964 is: 426,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,030 : 196,964 = 196,964 : x
  2. Step 2: Convert to fraction form
    91,030/196,964 = 196,964/x
  3. Step 3: Cross multiply
    91,030x = 196,964 × 196,964
  4. Step 4: Simplify right side
    91,030x = 38,794,817,296
  5. Step 5: Solve for x
    x = 38,794,817,296/91,030
  6. Step 6: Final answer
    x = 426,176.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.