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Finding the Third Proportional to 95,823.84 and 210,051.56

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Solution

The third proportional to 95,823.84 and 210,051.56 is: 460,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,823.84 : 210,051.56 = 210,051.56 : x
  2. Step 2: Convert to fraction form
    95,823.84/210,051.56 = 210,051.56/x
  3. Step 3: Cross multiply
    95,823.84x = 210,051.56 × 210,051.56
  4. Step 4: Simplify right side
    95,823.84x = 44,121,658,908.69
  5. Step 5: Solve for x
    x = 44,121,658,908.69/95,823.84
  6. Step 6: Final answer
    x = 460,445.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.