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Finding the Third Proportional to 238,376,880 and 364,496,328

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Solution

The third proportional to 238,376,880 and 364,496,328 is: 557,342,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,376,880 : 364,496,328 = 364,496,328 : x
  2. Step 2: Convert to fraction form
    238,376,880/364,496,328 = 364,496,328/x
  3. Step 3: Cross multiply
    238,376,880x = 364,496,328 × 364,496,328
  4. Step 4: Simplify right side
    238,376,880x = 132,857,573,125,483,584
  5. Step 5: Solve for x
    x = 132,857,573,125,483,584/238,376,880
  6. Step 6: Final answer
    x = 557,342,528.88

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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.