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Finding the Third Proportional to 238,376,872 and 364,496,316

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Solution

The third proportional to 238,376,872 and 364,496,316 is: 557,342,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,376,872 : 364,496,316 = 364,496,316 : x
  2. Step 2: Convert to fraction form
    238,376,872/364,496,316 = 364,496,316/x
  3. Step 3: Cross multiply
    238,376,872x = 364,496,316 × 364,496,316
  4. Step 4: Simplify right side
    238,376,872x = 132,857,564,377,571,856
  5. Step 5: Solve for x
    x = 132,857,564,377,571,856/238,376,872
  6. Step 6: Final answer
    x = 557,342,510.89

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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.