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Finding the Third Proportional to 89,488,680 and 138,189,204

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Solution

The third proportional to 89,488,680 and 138,189,204 is: 213,392,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,488,680 : 138,189,204 = 138,189,204 : x
  2. Step 2: Convert to fraction form
    89,488,680/138,189,204 = 138,189,204/x
  3. Step 3: Cross multiply
    89,488,680x = 138,189,204 × 138,189,204
  4. Step 4: Simplify right side
    89,488,680x = 19,096,256,102,153,616
  5. Step 5: Solve for x
    x = 19,096,256,102,153,616/89,488,680
  6. Step 6: Final answer
    x = 213,392,980.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.