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Finding the Third Proportional to 97,023.75 and 208,801.50

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Solution

The third proportional to 97,023.75 and 208,801.50 is: 449,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,023.75 : 208,801.50 = 208,801.50 : x
  2. Step 2: Convert to fraction form
    97,023.75/208,801.50 = 208,801.50/x
  3. Step 3: Cross multiply
    97,023.75x = 208,801.50 × 208,801.50
  4. Step 4: Simplify right side
    97,023.75x = 43,598,066,402.25
  5. Step 5: Solve for x
    x = 43,598,066,402.25/97,023.75
  6. Step 6: Final answer
    x = 449,354.58

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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.