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Finding the Third Proportional to 202,162,672 and 295,662,390

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Solution

The third proportional to 202,162,672 and 295,662,390 is: 432,405,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,162,672 : 295,662,390 = 295,662,390 : x
  2. Step 2: Convert to fraction form
    202,162,672/295,662,390 = 295,662,390/x
  3. Step 3: Cross multiply
    202,162,672x = 295,662,390 × 295,662,390
  4. Step 4: Simplify right side
    202,162,672x = 87,416,248,860,512,096
  5. Step 5: Solve for x
    x = 87,416,248,860,512,096/202,162,672
  6. Step 6: Final answer
    x = 432,405,488.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.