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Finding the Third Proportional to 48,713,243 and 106,001,980

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Solution

The third proportional to 48,713,243 and 106,001,980 is: 230,664,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713,243 : 106,001,980 = 106,001,980 : x
  2. Step 2: Convert to fraction form
    48,713,243/106,001,980 = 106,001,980/x
  3. Step 3: Cross multiply
    48,713,243x = 106,001,980 × 106,001,980
  4. Step 4: Simplify right side
    48,713,243x = 11,236,419,763,920,400
  5. Step 5: Solve for x
    x = 11,236,419,763,920,400/48,713,243
  6. Step 6: Final answer
    x = 230,664,580.55

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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.