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Finding the Third Proportional to 98,148 and 211,838

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Solution

The third proportional to 98,148 and 211,838 is: 457,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,148 : 211,838 = 211,838 : x
  2. Step 2: Convert to fraction form
    98,148/211,838 = 211,838/x
  3. Step 3: Cross multiply
    98,148x = 211,838 × 211,838
  4. Step 4: Simplify right side
    98,148x = 44,875,338,244
  5. Step 5: Solve for x
    x = 44,875,338,244/98,148
  6. Step 6: Final answer
    x = 457,221.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.