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Finding the Third Proportional to 94,939,314 and 194,911,644

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Solution

The third proportional to 94,939,314 and 194,911,644 is: 400,156,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,939,314 : 194,911,644 = 194,911,644 : x
  2. Step 2: Convert to fraction form
    94,939,314/194,911,644 = 194,911,644/x
  3. Step 3: Cross multiply
    94,939,314x = 194,911,644 × 194,911,644
  4. Step 4: Simplify right side
    94,939,314x = 37,990,548,966,782,736
  5. Step 5: Solve for x
    x = 37,990,548,966,782,736/94,939,314
  6. Step 6: Final answer
    x = 400,156,135.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.