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Finding the Third Proportional to 202,659,889 and 410,959,026

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Solution

The third proportional to 202,659,889 and 410,959,026 is: 833,353,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659,889 : 410,959,026 = 410,959,026 : x
  2. Step 2: Convert to fraction form
    202,659,889/410,959,026 = 410,959,026/x
  3. Step 3: Cross multiply
    202,659,889x = 410,959,026 × 410,959,026
  4. Step 4: Simplify right side
    202,659,889x = 168,887,321,050,868,672
  5. Step 5: Solve for x
    x = 168,887,321,050,868,672/202,659,889
  6. Step 6: Final answer
    x = 833,353,466.66

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