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Finding the Third Proportional to 102,069 and 220,567.50

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Solution

The third proportional to 102,069 and 220,567.50 is: 476,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,069 : 220,567.50 = 220,567.50 : x
  2. Step 2: Convert to fraction form
    102,069/220,567.50 = 220,567.50/x
  3. Step 3: Cross multiply
    102,069x = 220,567.50 × 220,567.50
  4. Step 4: Simplify right side
    102,069x = 48,650,022,056.25
  5. Step 5: Solve for x
    x = 48,650,022,056.25/102,069
  6. Step 6: Final answer
    x = 476,638.57

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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.