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Finding the Third Proportional to 107,029.50 and 228,822

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Solution

The third proportional to 107,029.50 and 228,822 is: 489,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,029.50 : 228,822 = 228,822 : x
  2. Step 2: Convert to fraction form
    107,029.50/228,822 = 228,822/x
  3. Step 3: Cross multiply
    107,029.50x = 228,822 × 228,822
  4. Step 4: Simplify right side
    107,029.50x = 52,359,507,684
  5. Step 5: Solve for x
    x = 52,359,507,684/107,029.50
  6. Step 6: Final answer
    x = 489,206.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.