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Finding the Third Proportional to 98,858 and 216,532

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Solution

The third proportional to 98,858 and 216,532 is: 474,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,858 : 216,532 = 216,532 : x
  2. Step 2: Convert to fraction form
    98,858/216,532 = 216,532/x
  3. Step 3: Cross multiply
    98,858x = 216,532 × 216,532
  4. Step 4: Simplify right side
    98,858x = 46,886,107,024
  5. Step 5: Solve for x
    x = 46,886,107,024/98,858
  6. Step 6: Final answer
    x = 474,277.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.