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Finding the Third Proportional to 48,370,676 and 105,244,257

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Solution

The third proportional to 48,370,676 and 105,244,257 is: 228,989,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370,676 : 105,244,257 = 105,244,257 : x
  2. Step 2: Convert to fraction form
    48,370,676/105,244,257 = 105,244,257/x
  3. Step 3: Cross multiply
    48,370,676x = 105,244,257 × 105,244,257
  4. Step 4: Simplify right side
    48,370,676x = 11,076,353,631,482,048
  5. Step 5: Solve for x
    x = 11,076,353,631,482,048/48,370,676
  6. Step 6: Final answer
    x = 228,989,018.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.