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Finding the Third Proportional to 48,648,902 and 105,765,652

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Solution

The third proportional to 48,648,902 and 105,765,652 is: 229,940,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,648,902 : 105,765,652 = 105,765,652 : x
  2. Step 2: Convert to fraction form
    48,648,902/105,765,652 = 105,765,652/x
  3. Step 3: Cross multiply
    48,648,902x = 105,765,652 × 105,765,652
  4. Step 4: Simplify right side
    48,648,902x = 11,186,373,142,985,104
  5. Step 5: Solve for x
    x = 11,186,373,142,985,104/48,648,902
  6. Step 6: Final answer
    x = 229,940,917.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.