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Finding the Third Proportional to 98,656 and 215,768

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Solution

The third proportional to 98,656 and 215,768 is: 471,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,656 : 215,768 = 215,768 : x
  2. Step 2: Convert to fraction form
    98,656/215,768 = 215,768/x
  3. Step 3: Cross multiply
    98,656x = 215,768 × 215,768
  4. Step 4: Simplify right side
    98,656x = 46,555,829,824
  5. Step 5: Solve for x
    x = 46,555,829,824/98,656
  6. Step 6: Final answer
    x = 471,900.64

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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.