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Finding the Third Proportional to 189,600,008 and 283,157,580

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Solution

The third proportional to 189,600,008 and 283,157,580 is: 422,880,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,600,008 : 283,157,580 = 283,157,580 : x
  2. Step 2: Convert to fraction form
    189,600,008/283,157,580 = 283,157,580/x
  3. Step 3: Cross multiply
    189,600,008x = 283,157,580 × 283,157,580
  4. Step 4: Simplify right side
    189,600,008x = 80,178,215,111,456,400
  5. Step 5: Solve for x
    x = 80,178,215,111,456,400/189,600,008
  6. Step 6: Final answer
    x = 422,880,863.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.