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Finding the Third Proportional to 238,068,369 and 364,170,919.50

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Solution

The third proportional to 238,068,369 and 364,170,919.50 is: 557,068,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,068,369 : 364,170,919.50 = 364,170,919.50 : x
  2. Step 2: Convert to fraction form
    238,068,369/364,170,919.50 = 364,170,919.50/x
  3. Step 3: Cross multiply
    238,068,369x = 364,170,919.50 × 364,170,919.50
  4. Step 4: Simplify right side
    238,068,369x = 132,620,458,609,475,488
  5. Step 5: Solve for x
    x = 132,620,458,609,475,488/238,068,369
  6. Step 6: Final answer
    x = 557,068,791.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.