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Finding the Third Proportional to 101,152.50 and 221,354

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Solution

The third proportional to 101,152.50 and 221,354 is: 484,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,152.50 : 221,354 = 221,354 : x
  2. Step 2: Convert to fraction form
    101,152.50/221,354 = 221,354/x
  3. Step 3: Cross multiply
    101,152.50x = 221,354 × 221,354
  4. Step 4: Simplify right side
    101,152.50x = 48,997,593,316
  5. Step 5: Solve for x
    x = 48,997,593,316/101,152.50
  6. Step 6: Final answer
    x = 484,393.30

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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.