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Finding the Third Proportional to 95,828.06 and 210,929.06

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Solution

The third proportional to 95,828.06 and 210,929.06 is: 464,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,828.06 : 210,929.06 = 210,929.06 : x
  2. Step 2: Convert to fraction form
    95,828.06/210,929.06 = 210,929.06/x
  3. Step 3: Cross multiply
    95,828.06x = 210,929.06 × 210,929.06
  4. Step 4: Simplify right side
    95,828.06x = 44,491,069,407.13
  5. Step 5: Solve for x
    x = 44,491,069,407.13/95,828.06
  6. Step 6: Final answer
    x = 464,280.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.