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Finding the Third Proportional to 151,012,158 and 233,194,296

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Solution

The third proportional to 151,012,158 and 233,194,296 is: 360,100,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012,158 : 233,194,296 = 233,194,296 : x
  2. Step 2: Convert to fraction form
    151,012,158/233,194,296 = 233,194,296/x
  3. Step 3: Cross multiply
    151,012,158x = 233,194,296 × 233,194,296
  4. Step 4: Simplify right side
    151,012,158x = 54,379,579,686,935,616
  5. Step 5: Solve for x
    x = 54,379,579,686,935,616/151,012,158
  6. Step 6: Final answer
    x = 360,100,672.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.