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Finding the Third Proportional to 106,011 and 231,438

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Solution

The third proportional to 106,011 and 231,438 is: 505,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,011 : 231,438 = 231,438 : x
  2. Step 2: Convert to fraction form
    106,011/231,438 = 231,438/x
  3. Step 3: Cross multiply
    106,011x = 231,438 × 231,438
  4. Step 4: Simplify right side
    106,011x = 53,563,547,844
  5. Step 5: Solve for x
    x = 53,563,547,844/106,011
  6. Step 6: Final answer
    x = 505,264.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.