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Finding the Third Proportional to 233,414,144 and 540,311,492

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Solution

The third proportional to 233,414,144 and 540,311,492 is: 1,250,723,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,414,144 : 540,311,492 = 540,311,492 : x
  2. Step 2: Convert to fraction form
    233,414,144/540,311,492 = 540,311,492/x
  3. Step 3: Cross multiply
    233,414,144x = 540,311,492 × 540,311,492
  4. Step 4: Simplify right side
    233,414,144x = 291,936,508,387,266,048
  5. Step 5: Solve for x
    x = 291,936,508,387,266,048/233,414,144
  6. Step 6: Final answer
    x = 1,250,723,299.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.