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Finding the Third Proportional to 98,784 and 213,006

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Solution

The third proportional to 98,784 and 213,006 is: 459,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784 : 213,006 = 213,006 : x
  2. Step 2: Convert to fraction form
    98,784/213,006 = 213,006/x
  3. Step 3: Cross multiply
    98,784x = 213,006 × 213,006
  4. Step 4: Simplify right side
    98,784x = 45,371,556,036
  5. Step 5: Solve for x
    x = 45,371,556,036/98,784
  6. Step 6: Final answer
    x = 459,300.66

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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.