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Finding the Third Proportional to 98,894 and 219,142

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Solution

The third proportional to 98,894 and 219,142 is: 485,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,894 : 219,142 = 219,142 : x
  2. Step 2: Convert to fraction form
    98,894/219,142 = 219,142/x
  3. Step 3: Cross multiply
    98,894x = 219,142 × 219,142
  4. Step 4: Simplify right side
    98,894x = 48,023,216,164
  5. Step 5: Solve for x
    x = 48,023,216,164/98,894
  6. Step 6: Final answer
    x = 485,602.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.