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Finding the Third Proportional to 48,076,214 and 113,376,054

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Solution

The third proportional to 48,076,214 and 113,376,054 is: 267,369,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,076,214 : 113,376,054 = 113,376,054 : x
  2. Step 2: Convert to fraction form
    48,076,214/113,376,054 = 113,376,054/x
  3. Step 3: Cross multiply
    48,076,214x = 113,376,054 × 113,376,054
  4. Step 4: Simplify right side
    48,076,214x = 12,854,129,620,610,916
  5. Step 5: Solve for x
    x = 12,854,129,620,610,916/48,076,214
  6. Step 6: Final answer
    x = 267,369,839.49

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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.