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Finding the Third Proportional to 48,973,544 and 106,765,084

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Solution

The third proportional to 48,973,544 and 106,765,084 is: 232,753,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,973,544 : 106,765,084 = 106,765,084 : x
  2. Step 2: Convert to fraction form
    48,973,544/106,765,084 = 106,765,084/x
  3. Step 3: Cross multiply
    48,973,544x = 106,765,084 × 106,765,084
  4. Step 4: Simplify right side
    48,973,544x = 11,398,783,161,527,056
  5. Step 5: Solve for x
    x = 11,398,783,161,527,056/48,973,544
  6. Step 6: Final answer
    x = 232,753,895.89

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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.