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Finding the Third Proportional to 189,064,418 and 410,395,996

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Solution

The third proportional to 189,064,418 and 410,395,996 is: 890,833,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064,418 : 410,395,996 = 410,395,996 : x
  2. Step 2: Convert to fraction form
    189,064,418/410,395,996 = 410,395,996/x
  3. Step 3: Cross multiply
    189,064,418x = 410,395,996 × 410,395,996
  4. Step 4: Simplify right side
    189,064,418x = 168,424,873,532,832,000
  5. Step 5: Solve for x
    x = 168,424,873,532,832,000/189,064,418
  6. Step 6: Final answer
    x = 890,833,268.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.