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Finding the Third Proportional to 98,823 and 147,964

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Solution

The third proportional to 98,823 and 147,964 is: 221,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,823 : 147,964 = 147,964 : x
  2. Step 2: Convert to fraction form
    98,823/147,964 = 147,964/x
  3. Step 3: Cross multiply
    98,823x = 147,964 × 147,964
  4. Step 4: Simplify right side
    98,823x = 21,893,345,296
  5. Step 5: Solve for x
    x = 21,893,345,296/98,823
  6. Step 6: Final answer
    x = 221,540.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.