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Finding the Third Proportional to 48,076,306 and 103,442,431

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Solution

The third proportional to 48,076,306 and 103,442,431 is: 222,569,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,076,306 : 103,442,431 = 103,442,431 : x
  2. Step 2: Convert to fraction form
    48,076,306/103,442,431 = 103,442,431/x
  3. Step 3: Cross multiply
    48,076,306x = 103,442,431 × 103,442,431
  4. Step 4: Simplify right side
    48,076,306x = 10,700,336,531,189,760
  5. Step 5: Solve for x
    x = 10,700,336,531,189,760/48,076,306
  6. Step 6: Final answer
    x = 222,569,856.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.