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Finding the Third Proportional to 103,541.63 and 223,394.63

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Solution

The third proportional to 103,541.63 and 223,394.63 is: 481,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,541.63 : 223,394.63 = 223,394.63 : x
  2. Step 2: Convert to fraction form
    103,541.63/223,394.63 = 223,394.63/x
  3. Step 3: Cross multiply
    103,541.63x = 223,394.63 × 223,394.63
  4. Step 4: Simplify right side
    103,541.63x = 49,905,158,478.89
  5. Step 5: Solve for x
    x = 49,905,158,478.89/103,541.63
  6. Step 6: Final answer
    x = 481,981.60

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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.