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Finding the Third Proportional to 48,076,203.38 and 113,376,032.44

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Solution

The third proportional to 48,076,203.38 and 113,376,032.44 is: 267,369,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,076,203.38 : 113,376,032.44 = 113,376,032.44 : x
  2. Step 2: Convert to fraction form
    48,076,203.38/113,376,032.44 = 113,376,032.44/x
  3. Step 3: Cross multiply
    48,076,203.38x = 113,376,032.44 × 113,376,032.44
  4. Step 4: Simplify right side
    48,076,203.38x = 12,854,124,731,269,052
  5. Step 5: Solve for x
    x = 12,854,124,731,269,052/48,076,203.38
  6. Step 6: Final answer
    x = 267,369,796.88

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