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Finding the Third Proportional to 104,705,001 and 230,180,484

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Solution

The third proportional to 104,705,001 and 230,180,484 is: 506,022,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,705,001 : 230,180,484 = 230,180,484 : x
  2. Step 2: Convert to fraction form
    104,705,001/230,180,484 = 230,180,484/x
  3. Step 3: Cross multiply
    104,705,001x = 230,180,484 × 230,180,484
  4. Step 4: Simplify right side
    104,705,001x = 52,983,055,214,474,256
  5. Step 5: Solve for x
    x = 52,983,055,214,474,256/104,705,001
  6. Step 6: Final answer
    x = 506,022,202.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.