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Finding the Third Proportional to 111,466.13 and 233,948.25

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Solution

The third proportional to 111,466.13 and 233,948.25 is: 491,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,466.13 : 233,948.25 = 233,948.25 : x
  2. Step 2: Convert to fraction form
    111,466.13/233,948.25 = 233,948.25/x
  3. Step 3: Cross multiply
    111,466.13x = 233,948.25 × 233,948.25
  4. Step 4: Simplify right side
    111,466.13x = 54,731,783,678.06
  5. Step 5: Solve for x
    x = 54,731,783,678.06/111,466.13
  6. Step 6: Final answer
    x = 491,017.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.