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Finding the Third Proportional to 103,534 and 221,833

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Solution

The third proportional to 103,534 and 221,833 is: 475,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,534 : 221,833 = 221,833 : x
  2. Step 2: Convert to fraction form
    103,534/221,833 = 221,833/x
  3. Step 3: Cross multiply
    103,534x = 221,833 × 221,833
  4. Step 4: Simplify right side
    103,534x = 49,209,879,889
  5. Step 5: Solve for x
    x = 49,209,879,889/103,534
  6. Step 6: Final answer
    x = 475,301.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.