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Finding the Third Proportional to 238,203,126 and 364,312,161

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Solution

The third proportional to 238,203,126 and 364,312,161 is: 557,185,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,203,126 : 364,312,161 = 364,312,161 : x
  2. Step 2: Convert to fraction form
    238,203,126/364,312,161 = 364,312,161/x
  3. Step 3: Cross multiply
    238,203,126x = 364,312,161 × 364,312,161
  4. Step 4: Simplify right side
    238,203,126x = 132,723,350,652,489,920
  5. Step 5: Solve for x
    x = 132,723,350,652,489,920/238,203,126
  6. Step 6: Final answer
    x = 557,185,595.68

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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.