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Finding the Third Proportional to 95,896,575 and 207,138,420

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Solution

The third proportional to 95,896,575 and 207,138,420 is: 447,422,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,896,575 : 207,138,420 = 207,138,420 : x
  2. Step 2: Convert to fraction form
    95,896,575/207,138,420 = 207,138,420/x
  3. Step 3: Cross multiply
    95,896,575x = 207,138,420 × 207,138,420
  4. Step 4: Simplify right side
    95,896,575x = 42,906,325,040,096,400
  5. Step 5: Solve for x
    x = 42,906,325,040,096,400/95,896,575
  6. Step 6: Final answer
    x = 447,422,914.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.