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Finding the Third Proportional to 89,887,326.75 and 193,934,749.50

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Solution

The third proportional to 89,887,326.75 and 193,934,749.50 is: 418,420,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,887,326.75 : 193,934,749.50 = 193,934,749.50 : x
  2. Step 2: Convert to fraction form
    89,887,326.75/193,934,749.50 = 193,934,749.50/x
  3. Step 3: Cross multiply
    89,887,326.75x = 193,934,749.50 × 193,934,749.50
  4. Step 4: Simplify right side
    89,887,326.75x = 37,610,687,063,627,752
  5. Step 5: Solve for x
    x = 37,610,687,063,627,752/89,887,326.75
  6. Step 6: Final answer
    x = 418,420,353.83

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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.