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Finding the Third Proportional to 48,076,216 and 113,376,059

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Solution

The third proportional to 48,076,216 and 113,376,059 is: 267,369,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,076,216 : 113,376,059 = 113,376,059 : x
  2. Step 2: Convert to fraction form
    48,076,216/113,376,059 = 113,376,059/x
  3. Step 3: Cross multiply
    48,076,216x = 113,376,059 × 113,376,059
  4. Step 4: Simplify right side
    48,076,216x = 12,854,130,754,371,480
  5. Step 5: Solve for x
    x = 12,854,130,754,371,480/48,076,216
  6. Step 6: Final answer
    x = 267,369,851.95

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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.