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Finding the Third Proportional to 97,466.73 and 210,003.26

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Solution

The third proportional to 97,466.73 and 210,003.26 is: 452,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,466.73 : 210,003.26 = 210,003.26 : x
  2. Step 2: Convert to fraction form
    97,466.73/210,003.26 = 210,003.26/x
  3. Step 3: Cross multiply
    97,466.73x = 210,003.26 × 210,003.26
  4. Step 4: Simplify right side
    97,466.73x = 44,101,368,291.86
  5. Step 5: Solve for x
    x = 44,101,368,291.86/97,466.73
  6. Step 6: Final answer
    x = 452,476.12

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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.