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Finding the Third Proportional to 97,024 and 208,803

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Solution

The third proportional to 97,024 and 208,803 is: 449,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,024 : 208,803 = 208,803 : x
  2. Step 2: Convert to fraction form
    97,024/208,803 = 208,803/x
  3. Step 3: Cross multiply
    97,024x = 208,803 × 208,803
  4. Step 4: Simplify right side
    97,024x = 43,598,692,809
  5. Step 5: Solve for x
    x = 43,598,692,809/97,024
  6. Step 6: Final answer
    x = 449,359.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.