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Finding the Third Proportional to 102,765,650 and 239,794,801

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Solution

The third proportional to 102,765,650 and 239,794,801 is: 559,540,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765,650 : 239,794,801 = 239,794,801 : x
  2. Step 2: Convert to fraction form
    102,765,650/239,794,801 = 239,794,801/x
  3. Step 3: Cross multiply
    102,765,650x = 239,794,801 × 239,794,801
  4. Step 4: Simplify right side
    102,765,650x = 57,501,546,586,629,600
  5. Step 5: Solve for x
    x = 57,501,546,586,629,600/102,765,650
  6. Step 6: Final answer
    x = 559,540,533.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.