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Finding the Third Proportional to 98,664.75 and 213,961.50

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Solution

The third proportional to 98,664.75 and 213,961.50 is: 463,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,664.75 : 213,961.50 = 213,961.50 : x
  2. Step 2: Convert to fraction form
    98,664.75/213,961.50 = 213,961.50/x
  3. Step 3: Cross multiply
    98,664.75x = 213,961.50 × 213,961.50
  4. Step 4: Simplify right side
    98,664.75x = 45,779,523,482.25
  5. Step 5: Solve for x
    x = 45,779,523,482.25/98,664.75
  6. Step 6: Final answer
    x = 463,990.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.