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Finding the Third Proportional to 261,992,723 and 393,180,893

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Solution

The third proportional to 261,992,723 and 393,180,893 is: 590,059,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,992,723 : 393,180,893 = 393,180,893 : x
  2. Step 2: Convert to fraction form
    261,992,723/393,180,893 = 393,180,893/x
  3. Step 3: Cross multiply
    261,992,723x = 393,180,893 × 393,180,893
  4. Step 4: Simplify right side
    261,992,723x = 154,591,214,620,277,440
  5. Step 5: Solve for x
    x = 154,591,214,620,277,440/261,992,723
  6. Step 6: Final answer
    x = 590,059,192.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.