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Finding the Third Proportional to 182,703,726 and 431,162,227

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Solution

The third proportional to 182,703,726 and 431,162,227 is: 1,017,499,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,703,726 : 431,162,227 = 431,162,227 : x
  2. Step 2: Convert to fraction form
    182,703,726/431,162,227 = 431,162,227/x
  3. Step 3: Cross multiply
    182,703,726x = 431,162,227 × 431,162,227
  4. Step 4: Simplify right side
    182,703,726x = 185,900,865,991,599,520
  5. Step 5: Solve for x
    x = 185,900,865,991,599,520/182,703,726
  6. Step 6: Final answer
    x = 1,017,499,041.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.