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Finding the Third Proportional to 97,023 and 208,800.50

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Solution

The third proportional to 97,023 and 208,800.50 is: 449,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,023 : 208,800.50 = 208,800.50 : x
  2. Step 2: Convert to fraction form
    97,023/208,800.50 = 208,800.50/x
  3. Step 3: Cross multiply
    97,023x = 208,800.50 × 208,800.50
  4. Step 4: Simplify right side
    97,023x = 43,597,648,800.25
  5. Step 5: Solve for x
    x = 43,597,648,800.25/97,023
  6. Step 6: Final answer
    x = 449,353.75

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