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Finding the Third Proportional to 88,701 and 197,082

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Solution

The third proportional to 88,701 and 197,082 is: 437,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,701 : 197,082 = 197,082 : x
  2. Step 2: Convert to fraction form
    88,701/197,082 = 197,082/x
  3. Step 3: Cross multiply
    88,701x = 197,082 × 197,082
  4. Step 4: Simplify right side
    88,701x = 38,841,314,724
  5. Step 5: Solve for x
    x = 38,841,314,724/88,701
  6. Step 6: Final answer
    x = 437,890.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.