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Finding the Third Proportional to 103,095 and 223,038

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Solution

The third proportional to 103,095 and 223,038 is: 482,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,095 : 223,038 = 223,038 : x
  2. Step 2: Convert to fraction form
    103,095/223,038 = 223,038/x
  3. Step 3: Cross multiply
    103,095x = 223,038 × 223,038
  4. Step 4: Simplify right side
    103,095x = 49,745,949,444
  5. Step 5: Solve for x
    x = 49,745,949,444/103,095
  6. Step 6: Final answer
    x = 482,525.34

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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.