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Finding the Third Proportional to 97,210.03 and 202,179.94

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Solution

The third proportional to 97,210.03 and 202,179.94 is: 420,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,210.03 : 202,179.94 = 202,179.94 : x
  2. Step 2: Convert to fraction form
    97,210.03/202,179.94 = 202,179.94/x
  3. Step 3: Cross multiply
    97,210.03x = 202,179.94 × 202,179.94
  4. Step 4: Simplify right side
    97,210.03x = 40,876,727,127.50
  5. Step 5: Solve for x
    x = 40,876,727,127.50/97,210.03
  6. Step 6: Final answer
    x = 420,499.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.