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Finding the Third Proportional to 98,214 and 151,155

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Solution

The third proportional to 98,214 and 151,155 is: 232,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,214 : 151,155 = 151,155 : x
  2. Step 2: Convert to fraction form
    98,214/151,155 = 151,155/x
  3. Step 3: Cross multiply
    98,214x = 151,155 × 151,155
  4. Step 4: Simplify right side
    98,214x = 22,847,834,025
  5. Step 5: Solve for x
    x = 22,847,834,025/98,214
  6. Step 6: Final answer
    x = 232,633.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.