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Finding the Third Proportional to 106,898.50 and 232,013

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Solution

The third proportional to 106,898.50 and 232,013 is: 503,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,898.50 : 232,013 = 232,013 : x
  2. Step 2: Convert to fraction form
    106,898.50/232,013 = 232,013/x
  3. Step 3: Cross multiply
    106,898.50x = 232,013 × 232,013
  4. Step 4: Simplify right side
    106,898.50x = 53,830,032,169
  5. Step 5: Solve for x
    x = 53,830,032,169/106,898.50
  6. Step 6: Final answer
    x = 503,562.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.