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Finding the Third Proportional to 95,518,947 and 204,660,217

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Solution

The third proportional to 95,518,947 and 204,660,217 is: 438,507,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,518,947 : 204,660,217 = 204,660,217 : x
  2. Step 2: Convert to fraction form
    95,518,947/204,660,217 = 204,660,217/x
  3. Step 3: Cross multiply
    95,518,947x = 204,660,217 × 204,660,217
  4. Step 4: Simplify right side
    95,518,947x = 41,885,804,422,487,088
  5. Step 5: Solve for x
    x = 41,885,804,422,487,088/95,518,947
  6. Step 6: Final answer
    x = 438,507,811.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.