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Finding the Third Proportional to 103,045.50 and 223,587

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Solution

The third proportional to 103,045.50 and 223,587 is: 485,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,045.50 : 223,587 = 223,587 : x
  2. Step 2: Convert to fraction form
    103,045.50/223,587 = 223,587/x
  3. Step 3: Cross multiply
    103,045.50x = 223,587 × 223,587
  4. Step 4: Simplify right side
    103,045.50x = 49,991,146,569
  5. Step 5: Solve for x
    x = 49,991,146,569/103,045.50
  6. Step 6: Final answer
    x = 485,136.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.