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Finding the Third Proportional to 202,162,668 and 295,662,384

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Solution

The third proportional to 202,162,668 and 295,662,384 is: 432,405,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,162,668 : 295,662,384 = 295,662,384 : x
  2. Step 2: Convert to fraction form
    202,162,668/295,662,384 = 295,662,384/x
  3. Step 3: Cross multiply
    202,162,668x = 295,662,384 × 295,662,384
  4. Step 4: Simplify right side
    202,162,668x = 87,416,245,312,563,456
  5. Step 5: Solve for x
    x = 87,416,245,312,563,456/202,162,668
  6. Step 6: Final answer
    x = 432,405,479.10

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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.