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Finding the Third Proportional to 182,158,479 and 266,405,952.75

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Solution

The third proportional to 182,158,479 and 266,405,952.75 is: 389,617,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,158,479 : 266,405,952.75 = 266,405,952.75 : x
  2. Step 2: Convert to fraction form
    182,158,479/266,405,952.75 = 266,405,952.75/x
  3. Step 3: Cross multiply
    182,158,479x = 266,405,952.75 × 266,405,952.75
  4. Step 4: Simplify right side
    182,158,479x = 70,972,131,660,635,232
  5. Step 5: Solve for x
    x = 70,972,131,660,635,232/182,158,479
  6. Step 6: Final answer
    x = 389,617,502.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.