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Finding the Third Proportional to 99,043 and 213,486

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Solution

The third proportional to 99,043 and 213,486 is: 460,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,043 : 213,486 = 213,486 : x
  2. Step 2: Convert to fraction form
    99,043/213,486 = 213,486/x
  3. Step 3: Cross multiply
    99,043x = 213,486 × 213,486
  4. Step 4: Simplify right side
    99,043x = 45,576,272,196
  5. Step 5: Solve for x
    x = 45,576,272,196/99,043
  6. Step 6: Final answer
    x = 460,166.52

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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.