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Finding the Third Proportional to 182,011,768 and 257,541,072

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Solution

The third proportional to 182,011,768 and 257,541,072 is: 364,412,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,011,768 : 257,541,072 = 257,541,072 : x
  2. Step 2: Convert to fraction form
    182,011,768/257,541,072 = 257,541,072/x
  3. Step 3: Cross multiply
    182,011,768x = 257,541,072 × 257,541,072
  4. Step 4: Simplify right side
    182,011,768x = 66,327,403,766,909,184
  5. Step 5: Solve for x
    x = 66,327,403,766,909,184/182,011,768
  6. Step 6: Final answer
    x = 364,412,721.75

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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.