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Finding the Third Proportional to 182,011,752 and 257,541,048

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Solution

The third proportional to 182,011,752 and 257,541,048 is: 364,412,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,011,752 : 257,541,048 = 257,541,048 : x
  2. Step 2: Convert to fraction form
    182,011,752/257,541,048 = 257,541,048/x
  3. Step 3: Cross multiply
    182,011,752x = 257,541,048 × 257,541,048
  4. Step 4: Simplify right side
    182,011,752x = 66,327,391,404,938,304
  5. Step 5: Solve for x
    x = 66,327,391,404,938,304/182,011,752
  6. Step 6: Final answer
    x = 364,412,685.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.