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Finding the Third Proportional to 95,926.50 and 210,888

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Solution

The third proportional to 95,926.50 and 210,888 is: 463,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,926.50 : 210,888 = 210,888 : x
  2. Step 2: Convert to fraction form
    95,926.50/210,888 = 210,888/x
  3. Step 3: Cross multiply
    95,926.50x = 210,888 × 210,888
  4. Step 4: Simplify right side
    95,926.50x = 44,473,748,544
  5. Step 5: Solve for x
    x = 44,473,748,544/95,926.50
  6. Step 6: Final answer
    x = 463,623.18

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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.