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Finding the Third Proportional to 194,272,467 and 396,348,850.50

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Solution

The third proportional to 194,272,467 and 396,348,850.50 is: 808,619,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,272,467 : 396,348,850.50 = 396,348,850.50 : x
  2. Step 2: Convert to fraction form
    194,272,467/396,348,850.50 = 396,348,850.50/x
  3. Step 3: Cross multiply
    194,272,467x = 396,348,850.50 × 396,348,850.50
  4. Step 4: Simplify right side
    194,272,467x = 157,092,411,292,671,360
  5. Step 5: Solve for x
    x = 157,092,411,292,671,360/194,272,467
  6. Step 6: Final answer
    x = 808,619,016.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.