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Finding the Third Proportional to 98,618 and 216,007

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Solution

The third proportional to 98,618 and 216,007 is: 473,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,618 : 216,007 = 216,007 : x
  2. Step 2: Convert to fraction form
    98,618/216,007 = 216,007/x
  3. Step 3: Cross multiply
    98,618x = 216,007 × 216,007
  4. Step 4: Simplify right side
    98,618x = 46,659,024,049
  5. Step 5: Solve for x
    x = 46,659,024,049/98,618
  6. Step 6: Final answer
    x = 473,128.88

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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.