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Finding the Third Proportional to 202,659,878.25 and 410,959,005.75

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Solution

The third proportional to 202,659,878.25 and 410,959,005.75 is: 833,353,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659,878.25 : 410,959,005.75 = 410,959,005.75 : x
  2. Step 2: Convert to fraction form
    202,659,878.25/410,959,005.75 = 410,959,005.75/x
  3. Step 3: Cross multiply
    202,659,878.25x = 410,959,005.75 × 410,959,005.75
  4. Step 4: Simplify right side
    202,659,878.25x = 168,887,304,407,028,544
  5. Step 5: Solve for x
    x = 168,887,304,407,028,544/202,659,878.25
  6. Step 6: Final answer
    x = 833,353,428.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.