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Finding the Third Proportional to 182,011,779 and 257,541,088.50

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Solution

The third proportional to 182,011,779 and 257,541,088.50 is: 364,412,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,011,779 : 257,541,088.50 = 257,541,088.50 : x
  2. Step 2: Convert to fraction form
    182,011,779/257,541,088.50 = 257,541,088.50/x
  3. Step 3: Cross multiply
    182,011,779x = 257,541,088.50 × 257,541,088.50
  4. Step 4: Simplify right side
    182,011,779x = 66,327,412,265,764,832
  5. Step 5: Solve for x
    x = 66,327,412,265,764,832/182,011,779
  6. Step 6: Final answer
    x = 364,412,746.42

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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.