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Finding the Third Proportional to 102,948,086 and 214,364,236

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Solution

The third proportional to 102,948,086 and 214,364,236 is: 446,361,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,948,086 : 214,364,236 = 214,364,236 : x
  2. Step 2: Convert to fraction form
    102,948,086/214,364,236 = 214,364,236/x
  3. Step 3: Cross multiply
    102,948,086x = 214,364,236 × 214,364,236
  4. Step 4: Simplify right side
    102,948,086x = 45,952,025,675,863,696
  5. Step 5: Solve for x
    x = 45,952,025,675,863,696/102,948,086
  6. Step 6: Final answer
    x = 446,361,146.30

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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.