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Finding the Third Proportional to 97,030 and 208,816

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Solution

The third proportional to 97,030 and 208,816 is: 449,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,030 : 208,816 = 208,816 : x
  2. Step 2: Convert to fraction form
    97,030/208,816 = 208,816/x
  3. Step 3: Cross multiply
    97,030x = 208,816 × 208,816
  4. Step 4: Simplify right side
    97,030x = 43,604,121,856
  5. Step 5: Solve for x
    x = 43,604,121,856/97,030
  6. Step 6: Final answer
    x = 449,388.04

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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.