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Finding the Third Proportional to 95,963,744.25 and 207,218,873.25

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Solution

The third proportional to 95,963,744.25 and 207,218,873.25 is: 447,457,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,963,744.25 : 207,218,873.25 = 207,218,873.25 : x
  2. Step 2: Convert to fraction form
    95,963,744.25/207,218,873.25 = 207,218,873.25/x
  3. Step 3: Cross multiply
    95,963,744.25x = 207,218,873.25 × 207,218,873.25
  4. Step 4: Simplify right side
    95,963,744.25x = 42,939,661,430,999,568
  5. Step 5: Solve for x
    x = 42,939,661,430,999,568/95,963,744.25
  6. Step 6: Final answer
    x = 447,457,128.38

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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.