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Finding the Third Proportional to 96,594 and 210,349.88

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Solution

The third proportional to 96,594 and 210,349.88 is: 458,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,594 : 210,349.88 = 210,349.88 : x
  2. Step 2: Convert to fraction form
    96,594/210,349.88 = 210,349.88/x
  3. Step 3: Cross multiply
    96,594x = 210,349.88 × 210,349.88
  4. Step 4: Simplify right side
    96,594x = 44,247,069,912.52
  5. Step 5: Solve for x
    x = 44,247,069,912.52/96,594
  6. Step 6: Final answer
    x = 458,072.65

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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.