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Finding the Third Proportional to 111,526,384 and 241,581,032

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Solution

The third proportional to 111,526,384 and 241,581,032 is: 523,296,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,526,384 : 241,581,032 = 241,581,032 : x
  2. Step 2: Convert to fraction form
    111,526,384/241,581,032 = 241,581,032/x
  3. Step 3: Cross multiply
    111,526,384x = 241,581,032 × 241,581,032
  4. Step 4: Simplify right side
    111,526,384x = 58,361,395,022,185,024
  5. Step 5: Solve for x
    x = 58,361,395,022,185,024/111,526,384
  6. Step 6: Final answer
    x = 523,296,756.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.