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Finding the Third Proportional to 127,360,188 and 192,105,594

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Solution

The third proportional to 127,360,188 and 192,105,594 is: 289,765,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,360,188 : 192,105,594 = 192,105,594 : x
  2. Step 2: Convert to fraction form
    127,360,188/192,105,594 = 192,105,594/x
  3. Step 3: Cross multiply
    127,360,188x = 192,105,594 × 192,105,594
  4. Step 4: Simplify right side
    127,360,188x = 36,904,559,246,092,832
  5. Step 5: Solve for x
    x = 36,904,559,246,092,832/127,360,188
  6. Step 6: Final answer
    x = 289,765,269.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.