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Finding the Third Proportional to 116,733.09 and 255,090.09

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Solution

The third proportional to 116,733.09 and 255,090.09 is: 557,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,733.09 : 255,090.09 = 255,090.09 : x
  2. Step 2: Convert to fraction form
    116,733.09/255,090.09 = 255,090.09/x
  3. Step 3: Cross multiply
    116,733.09x = 255,090.09 × 255,090.09
  4. Step 4: Simplify right side
    116,733.09x = 65,070,955,929.38
  5. Step 5: Solve for x
    x = 65,070,955,929.38/116,733.09
  6. Step 6: Final answer
    x = 557,433.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.