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Finding the Third Proportional to 109,003 and 243,516.50

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Solution

The third proportional to 109,003 and 243,516.50 is: 544,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,003 : 243,516.50 = 243,516.50 : x
  2. Step 2: Convert to fraction form
    109,003/243,516.50 = 243,516.50/x
  3. Step 3: Cross multiply
    109,003x = 243,516.50 × 243,516.50
  4. Step 4: Simplify right side
    109,003x = 59,300,285,772.25
  5. Step 5: Solve for x
    x = 59,300,285,772.25/109,003
  6. Step 6: Final answer
    x = 544,024.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.