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Finding the Third Proportional to 98,523 and 211,828.50

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Solution

The third proportional to 98,523 and 211,828.50 is: 455,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523 : 211,828.50 = 211,828.50 : x
  2. Step 2: Convert to fraction form
    98,523/211,828.50 = 211,828.50/x
  3. Step 3: Cross multiply
    98,523x = 211,828.50 × 211,828.50
  4. Step 4: Simplify right side
    98,523x = 44,871,313,412.25
  5. Step 5: Solve for x
    x = 44,871,313,412.25/98,523
  6. Step 6: Final answer
    x = 455,439.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.