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Finding the Third Proportional to 99,346 and 193,697

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Solution

The third proportional to 99,346 and 193,697 is: 377,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,346 : 193,697 = 193,697 : x
  2. Step 2: Convert to fraction form
    99,346/193,697 = 193,697/x
  3. Step 3: Cross multiply
    99,346x = 193,697 × 193,697
  4. Step 4: Simplify right side
    99,346x = 37,518,527,809
  5. Step 5: Solve for x
    x = 37,518,527,809/99,346
  6. Step 6: Final answer
    x = 377,655.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.