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Finding the Third Proportional to 79,970.63 and 185,133.94

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Solution

The third proportional to 79,970.63 and 185,133.94 is: 428,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,970.63 : 185,133.94 = 185,133.94 : x
  2. Step 2: Convert to fraction form
    79,970.63/185,133.94 = 185,133.94/x
  3. Step 3: Cross multiply
    79,970.63x = 185,133.94 × 185,133.94
  4. Step 4: Simplify right side
    79,970.63x = 34,274,574,814.25
  5. Step 5: Solve for x
    x = 34,274,574,814.25/79,970.63
  6. Step 6: Final answer
    x = 428,589.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.