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Finding the Third Proportional to 111,395,754.75 and 170,295,400.13

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Solution

The third proportional to 111,395,754.75 and 170,295,400.13 is: 260,337,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,395,754.75 : 170,295,400.13 = 170,295,400.13 : x
  2. Step 2: Convert to fraction form
    111,395,754.75/170,295,400.13 = 170,295,400.13/x
  3. Step 3: Cross multiply
    111,395,754.75x = 170,295,400.13 × 170,295,400.13
  4. Step 4: Simplify right side
    111,395,754.75x = 29,000,523,303,733,852
  5. Step 5: Solve for x
    x = 29,000,523,303,733,852/111,395,754.75
  6. Step 6: Final answer
    x = 260,337,778.30

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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.