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Finding the Third Proportional to 48,828,825 and 105,324,057

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Solution

The third proportional to 48,828,825 and 105,324,057 is: 227,184,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,828,825 : 105,324,057 = 105,324,057 : x
  2. Step 2: Convert to fraction form
    48,828,825/105,324,057 = 105,324,057/x
  3. Step 3: Cross multiply
    48,828,825x = 105,324,057 × 105,324,057
  4. Step 4: Simplify right side
    48,828,825x = 11,093,156,982,939,248
  5. Step 5: Solve for x
    x = 11,093,156,982,939,248/48,828,825
  6. Step 6: Final answer
    x = 227,184,598.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.