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Finding the Third Proportional to 48,044,910 and 113,368,269

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Solution

The third proportional to 48,044,910 and 113,368,269 is: 267,507,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,044,910 : 113,368,269 = 113,368,269 : x
  2. Step 2: Convert to fraction form
    48,044,910/113,368,269 = 113,368,269/x
  3. Step 3: Cross multiply
    48,044,910x = 113,368,269 × 113,368,269
  4. Step 4: Simplify right side
    48,044,910x = 12,852,364,416,056,360
  5. Step 5: Solve for x
    x = 12,852,364,416,056,360/48,044,910
  6. Step 6: Final answer
    x = 267,507,305.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.