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Finding the Third Proportional to 202,659,887.25 and 410,959,021.50

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Solution

The third proportional to 202,659,887.25 and 410,959,021.50 is: 833,353,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659,887.25 : 410,959,021.50 = 410,959,021.50 : x
  2. Step 2: Convert to fraction form
    202,659,887.25/410,959,021.50 = 410,959,021.50/x
  3. Step 3: Cross multiply
    202,659,887.25x = 410,959,021.50 × 410,959,021.50
  4. Step 4: Simplify right side
    202,659,887.25x = 168,887,317,352,237,472
  5. Step 5: Solve for x
    x = 168,887,317,352,237,472/202,659,887.25
  6. Step 6: Final answer
    x = 833,353,455.60

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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.