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Finding the Third Proportional to 187,172,734 and 403,940,096

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Solution

The third proportional to 187,172,734 and 403,940,096 is: 871,748,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,172,734 : 403,940,096 = 403,940,096 : x
  2. Step 2: Convert to fraction form
    187,172,734/403,940,096 = 403,940,096/x
  3. Step 3: Cross multiply
    187,172,734x = 403,940,096 × 403,940,096
  4. Step 4: Simplify right side
    187,172,734x = 163,167,601,156,489,216
  5. Step 5: Solve for x
    x = 163,167,601,156,489,216/187,172,734
  6. Step 6: Final answer
    x = 871,748,772.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.