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Finding the Third Proportional to 48,976,848 and 106,772,128

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Solution

The third proportional to 48,976,848 and 106,772,128 is: 232,768,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,976,848 : 106,772,128 = 106,772,128 : x
  2. Step 2: Convert to fraction form
    48,976,848/106,772,128 = 106,772,128/x
  3. Step 3: Cross multiply
    48,976,848x = 106,772,128 × 106,772,128
  4. Step 4: Simplify right side
    48,976,848x = 11,400,287,317,648,384
  5. Step 5: Solve for x
    x = 11,400,287,317,648,384/48,976,848
  6. Step 6: Final answer
    x = 232,768,905.78

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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.