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Finding the Third Proportional to 202,162,674 and 295,662,393

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Solution

The third proportional to 202,162,674 and 295,662,393 is: 432,405,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,162,674 : 295,662,393 = 295,662,393 : x
  2. Step 2: Convert to fraction form
    202,162,674/295,662,393 = 295,662,393/x
  3. Step 3: Cross multiply
    202,162,674x = 295,662,393 × 295,662,393
  4. Step 4: Simplify right side
    202,162,674x = 87,416,250,634,486,448
  5. Step 5: Solve for x
    x = 87,416,250,634,486,448/202,162,674
  6. Step 6: Final answer
    x = 432,405,492.59

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Why These Related Problems?

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