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Finding the Third Proportional to 101,710.50 and 212,716

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Solution

The third proportional to 101,710.50 and 212,716 is: 444,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.50 : 212,716 = 212,716 : x
  2. Step 2: Convert to fraction form
    101,710.50/212,716 = 212,716/x
  3. Step 3: Cross multiply
    101,710.50x = 212,716 × 212,716
  4. Step 4: Simplify right side
    101,710.50x = 45,248,096,656
  5. Step 5: Solve for x
    x = 45,248,096,656/101,710.50
  6. Step 6: Final answer
    x = 444,871.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.