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Finding the Third Proportional to 238,203,432 and 364,312,512

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Solution

The third proportional to 238,203,432 and 364,312,512 is: 557,185,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,203,432 : 364,312,512 = 364,312,512 : x
  2. Step 2: Convert to fraction form
    238,203,432/364,312,512 = 364,312,512/x
  3. Step 3: Cross multiply
    238,203,432x = 364,312,512 × 364,312,512
  4. Step 4: Simplify right side
    238,203,432x = 132,723,606,399,750,144
  5. Step 5: Solve for x
    x = 132,723,606,399,750,144/238,203,432
  6. Step 6: Final answer
    x = 557,185,953.56

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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.