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Finding the Third Proportional to 92,094.19 and 197,645.06

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Solution

The third proportional to 92,094.19 and 197,645.06 is: 424,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,094.19 : 197,645.06 = 197,645.06 : x
  2. Step 2: Convert to fraction form
    92,094.19/197,645.06 = 197,645.06/x
  3. Step 3: Cross multiply
    92,094.19x = 197,645.06 × 197,645.06
  4. Step 4: Simplify right side
    92,094.19x = 39,063,570,730.63
  5. Step 5: Solve for x
    x = 39,063,570,730.63/92,094.19
  6. Step 6: Final answer
    x = 424,169.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.