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Finding the Third Proportional to 147,069 and 207,103.50

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Solution

The third proportional to 147,069 and 207,103.50 is: 291,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,069 : 207,103.50 = 207,103.50 : x
  2. Step 2: Convert to fraction form
    147,069/207,103.50 = 207,103.50/x
  3. Step 3: Cross multiply
    147,069x = 207,103.50 × 207,103.50
  4. Step 4: Simplify right side
    147,069x = 42,891,859,712.25
  5. Step 5: Solve for x
    x = 42,891,859,712.25/147,069
  6. Step 6: Final answer
    x = 291,644.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.