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Finding the Third Proportional to 202,353,585 and 435,397,827

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Solution

The third proportional to 202,353,585 and 435,397,827 is: 936,831,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353,585 : 435,397,827 = 435,397,827 : x
  2. Step 2: Convert to fraction form
    202,353,585/435,397,827 = 435,397,827/x
  3. Step 3: Cross multiply
    202,353,585x = 435,397,827 × 435,397,827
  4. Step 4: Simplify right side
    202,353,585x = 189,571,267,756,321,920
  5. Step 5: Solve for x
    x = 189,571,267,756,321,920/202,353,585
  6. Step 6: Final answer
    x = 936,831,772.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.