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Finding the Third Proportional to 100,823.50 and 221,303

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Solution

The third proportional to 100,823.50 and 221,303 is: 485,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,823.50 : 221,303 = 221,303 : x
  2. Step 2: Convert to fraction form
    100,823.50/221,303 = 221,303/x
  3. Step 3: Cross multiply
    100,823.50x = 221,303 × 221,303
  4. Step 4: Simplify right side
    100,823.50x = 48,975,017,809
  5. Step 5: Solve for x
    x = 48,975,017,809/100,823.50
  6. Step 6: Final answer
    x = 485,750.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.