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Finding the Third Proportional to 108,470.81 and 233,588.81

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Solution

The third proportional to 108,470.81 and 233,588.81 is: 503,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,470.81 : 233,588.81 = 233,588.81 : x
  2. Step 2: Convert to fraction form
    108,470.81/233,588.81 = 233,588.81/x
  3. Step 3: Cross multiply
    108,470.81x = 233,588.81 × 233,588.81
  4. Step 4: Simplify right side
    108,470.81x = 54,563,733,325.16
  5. Step 5: Solve for x
    x = 54,563,733,325.16/108,470.81
  6. Step 6: Final answer
    x = 503,026.87

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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.