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Finding the Third Proportional to 106,948.69 and 230,853.38

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Solution

The third proportional to 106,948.69 and 230,853.38 is: 498,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,948.69 : 230,853.38 = 230,853.38 : x
  2. Step 2: Convert to fraction form
    106,948.69/230,853.38 = 230,853.38/x
  3. Step 3: Cross multiply
    106,948.69x = 230,853.38 × 230,853.38
  4. Step 4: Simplify right side
    106,948.69x = 53,293,280,748.89
  5. Step 5: Solve for x
    x = 53,293,280,748.89/106,948.69
  6. Step 6: Final answer
    x = 498,307.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.