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Finding the Third Proportional to 92,370 and 199,509

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Solution

The third proportional to 92,370 and 199,509 is: 430,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,370 : 199,509 = 199,509 : x
  2. Step 2: Convert to fraction form
    92,370/199,509 = 199,509/x
  3. Step 3: Cross multiply
    92,370x = 199,509 × 199,509
  4. Step 4: Simplify right side
    92,370x = 39,803,841,081
  5. Step 5: Solve for x
    x = 39,803,841,081/92,370
  6. Step 6: Final answer
    x = 430,917.41

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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.