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Finding the Third Proportional to 100,756.50 and 211,852.50

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Solution

The third proportional to 100,756.50 and 211,852.50 is: 445,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,756.50 : 211,852.50 = 211,852.50 : x
  2. Step 2: Convert to fraction form
    100,756.50/211,852.50 = 211,852.50/x
  3. Step 3: Cross multiply
    100,756.50x = 211,852.50 × 211,852.50
  4. Step 4: Simplify right side
    100,756.50x = 44,881,481,756.25
  5. Step 5: Solve for x
    x = 44,881,481,756.25/100,756.50
  6. Step 6: Final answer
    x = 445,445.03

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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.