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Finding the Third Proportional to 92,038 and 199,447

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Solution

The third proportional to 92,038 and 199,447 is: 432,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,038 : 199,447 = 199,447 : x
  2. Step 2: Convert to fraction form
    92,038/199,447 = 199,447/x
  3. Step 3: Cross multiply
    92,038x = 199,447 × 199,447
  4. Step 4: Simplify right side
    92,038x = 39,779,105,809
  5. Step 5: Solve for x
    x = 39,779,105,809/92,038
  6. Step 6: Final answer
    x = 432,203.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.