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Finding the Third Proportional to 95,725.13 and 204,482.25

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Solution

The third proportional to 95,725.13 and 204,482.25 is: 436,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,725.13 : 204,482.25 = 204,482.25 : x
  2. Step 2: Convert to fraction form
    95,725.13/204,482.25 = 204,482.25/x
  3. Step 3: Cross multiply
    95,725.13x = 204,482.25 × 204,482.25
  4. Step 4: Simplify right side
    95,725.13x = 41,812,990,565.06
  5. Step 5: Solve for x
    x = 41,812,990,565.06/95,725.13
  6. Step 6: Final answer
    x = 436,802.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.