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Finding the Third Proportional to 101,404.50 and 219,461.50

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Solution

The third proportional to 101,404.50 and 219,461.50 is: 474,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,404.50 : 219,461.50 = 219,461.50 : x
  2. Step 2: Convert to fraction form
    101,404.50/219,461.50 = 219,461.50/x
  3. Step 3: Cross multiply
    101,404.50x = 219,461.50 × 219,461.50
  4. Step 4: Simplify right side
    101,404.50x = 48,163,349,982.25
  5. Step 5: Solve for x
    x = 48,163,349,982.25/101,404.50
  6. Step 6: Final answer
    x = 474,962.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.