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Finding the Third Proportional to 100,942.50 and 212,347.50

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Solution

The third proportional to 100,942.50 and 212,347.50 is: 446,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,942.50 : 212,347.50 = 212,347.50 : x
  2. Step 2: Convert to fraction form
    100,942.50/212,347.50 = 212,347.50/x
  3. Step 3: Cross multiply
    100,942.50x = 212,347.50 × 212,347.50
  4. Step 4: Simplify right side
    100,942.50x = 45,091,460,756.25
  5. Step 5: Solve for x
    x = 45,091,460,756.25/100,942.50
  6. Step 6: Final answer
    x = 446,704.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.