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Finding the Third Proportional to 98,898.75 and 212,098.88

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Solution

The third proportional to 98,898.75 and 212,098.88 is: 454,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,898.75 : 212,098.88 = 212,098.88 : x
  2. Step 2: Convert to fraction form
    98,898.75/212,098.88 = 212,098.88/x
  3. Step 3: Cross multiply
    98,898.75x = 212,098.88 × 212,098.88
  4. Step 4: Simplify right side
    98,898.75x = 44,985,932,776.27
  5. Step 5: Solve for x
    x = 44,985,932,776.27/98,898.75
  6. Step 6: Final answer
    x = 454,868.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.