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Finding the Third Proportional to 111,395,770.50 and 170,295,422.25

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Solution

The third proportional to 111,395,770.50 and 170,295,422.25 is: 260,337,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,395,770.50 : 170,295,422.25 = 170,295,422.25 : x
  2. Step 2: Convert to fraction form
    111,395,770.50/170,295,422.25 = 170,295,422.25/x
  3. Step 3: Cross multiply
    111,395,770.50x = 170,295,422.25 × 170,295,422.25
  4. Step 4: Simplify right side
    111,395,770.50x = 29,000,530,839,305,796
  5. Step 5: Solve for x
    x = 29,000,530,839,305,796/111,395,770.50
  6. Step 6: Final answer
    x = 260,337,809.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.