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Finding the Third Proportional to 97,663.75 and 207,318

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Solution

The third proportional to 97,663.75 and 207,318 is: 440,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,663.75 : 207,318 = 207,318 : x
  2. Step 2: Convert to fraction form
    97,663.75/207,318 = 207,318/x
  3. Step 3: Cross multiply
    97,663.75x = 207,318 × 207,318
  4. Step 4: Simplify right side
    97,663.75x = 42,980,753,124
  5. Step 5: Solve for x
    x = 42,980,753,124/97,663.75
  6. Step 6: Final answer
    x = 440,089.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.