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Finding the Third Proportional to 111,517,119 and 241,564,927.50

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Solution

The third proportional to 111,517,119 and 241,564,927.50 is: 523,270,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,517,119 : 241,564,927.50 = 241,564,927.50 : x
  2. Step 2: Convert to fraction form
    111,517,119/241,564,927.50 = 241,564,927.50/x
  3. Step 3: Cross multiply
    111,517,119x = 241,564,927.50 × 241,564,927.50
  4. Step 4: Simplify right side
    111,517,119x = 58,353,614,198,080,256
  5. Step 5: Solve for x
    x = 58,353,614,198,080,256/111,517,119
  6. Step 6: Final answer
    x = 523,270,460.37

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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.