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Finding the Third Proportional to 89,769,509 and 193,887,898

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Solution

The third proportional to 89,769,509 and 193,887,898 is: 418,767,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,769,509 : 193,887,898 = 193,887,898 : x
  2. Step 2: Convert to fraction form
    89,769,509/193,887,898 = 193,887,898/x
  3. Step 3: Cross multiply
    89,769,509x = 193,887,898 × 193,887,898
  4. Step 4: Simplify right side
    89,769,509x = 37,592,516,990,858,400
  5. Step 5: Solve for x
    x = 37,592,516,990,858,400/89,769,509
  6. Step 6: Final answer
    x = 418,767,100.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.