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Finding the Third Proportional to 238,376,870 and 364,496,313

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Solution

The third proportional to 238,376,870 and 364,496,313 is: 557,342,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,376,870 : 364,496,313 = 364,496,313 : x
  2. Step 2: Convert to fraction form
    238,376,870/364,496,313 = 364,496,313/x
  3. Step 3: Cross multiply
    238,376,870x = 364,496,313 × 364,496,313
  4. Step 4: Simplify right side
    238,376,870x = 132,857,562,190,593,968
  5. Step 5: Solve for x
    x = 132,857,562,190,593,968/238,376,870
  6. Step 6: Final answer
    x = 557,342,506.39

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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.