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Finding the Third Proportional to 48,076,200 and 113,376,024

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Solution

The third proportional to 48,076,200 and 113,376,024 is: 267,369,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,076,200 : 113,376,024 = 113,376,024 : x
  2. Step 2: Convert to fraction form
    48,076,200/113,376,024 = 113,376,024/x
  3. Step 3: Cross multiply
    48,076,200x = 113,376,024 × 113,376,024
  4. Step 4: Simplify right side
    48,076,200x = 12,854,122,818,048,576
  5. Step 5: Solve for x
    x = 12,854,122,818,048,576/48,076,200
  6. Step 6: Final answer
    x = 267,369,775.86

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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.