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Finding the Third Proportional to 122,198.63 and 164,435.06

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Solution

The third proportional to 122,198.63 and 164,435.06 is: 221,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,198.63 : 164,435.06 = 164,435.06 : x
  2. Step 2: Convert to fraction form
    122,198.63/164,435.06 = 164,435.06/x
  3. Step 3: Cross multiply
    122,198.63x = 164,435.06 × 164,435.06
  4. Step 4: Simplify right side
    122,198.63x = 27,038,889,779.38
  5. Step 5: Solve for x
    x = 27,038,889,779.38/122,198.63
  6. Step 6: Final answer
    x = 221,270.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.