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Finding the Third Proportional to 48,370,661 and 105,244,225

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Solution

The third proportional to 48,370,661 and 105,244,225 is: 228,988,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370,661 : 105,244,225 = 105,244,225 : x
  2. Step 2: Convert to fraction form
    48,370,661/105,244,225 = 105,244,225/x
  3. Step 3: Cross multiply
    48,370,661x = 105,244,225 × 105,244,225
  4. Step 4: Simplify right side
    48,370,661x = 11,076,346,895,850,624
  5. Step 5: Solve for x
    x = 11,076,346,895,850,624/48,370,661
  6. Step 6: Final answer
    x = 228,988,950.47

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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.