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Finding the Third Proportional to 45,258,420 and 100,760,760

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Solution

The third proportional to 45,258,420 and 100,760,760 is: 224,327,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,258,420 : 100,760,760 = 100,760,760 : x
  2. Step 2: Convert to fraction form
    45,258,420/100,760,760 = 100,760,760/x
  3. Step 3: Cross multiply
    45,258,420x = 100,760,760 × 100,760,760
  4. Step 4: Simplify right side
    45,258,420x = 10,152,730,755,777,600
  5. Step 5: Solve for x
    x = 10,152,730,755,777,600/45,258,420
  6. Step 6: Final answer
    x = 224,327,998.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.