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Finding the Third Proportional to 48,917,549 and 106,624,552

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Solution

The third proportional to 48,917,549 and 106,624,552 is: 232,407,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,917,549 : 106,624,552 = 106,624,552 : x
  2. Step 2: Convert to fraction form
    48,917,549/106,624,552 = 106,624,552/x
  3. Step 3: Cross multiply
    48,917,549x = 106,624,552 × 106,624,552
  4. Step 4: Simplify right side
    48,917,549x = 11,368,795,089,200,704
  5. Step 5: Solve for x
    x = 11,368,795,089,200,704/48,917,549
  6. Step 6: Final answer
    x = 232,407,291.89

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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.