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Finding the Third Proportional to 102,948,084 and 214,364,232

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Solution

The third proportional to 102,948,084 and 214,364,232 is: 446,361,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,948,084 : 214,364,232 = 214,364,232 : x
  2. Step 2: Convert to fraction form
    102,948,084/214,364,232 = 214,364,232/x
  3. Step 3: Cross multiply
    102,948,084x = 214,364,232 × 214,364,232
  4. Step 4: Simplify right side
    102,948,084x = 45,952,023,960,949,824
  5. Step 5: Solve for x
    x = 45,952,023,960,949,824/102,948,084
  6. Step 6: Final answer
    x = 446,361,138.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.