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Finding the Third Proportional to 103,323.09 and 151,445.95

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Solution

The third proportional to 103,323.09 and 151,445.95 is: 221,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,323.09 : 151,445.95 = 151,445.95 : x
  2. Step 2: Convert to fraction form
    103,323.09/151,445.95 = 151,445.95/x
  3. Step 3: Cross multiply
    103,323.09x = 151,445.95 × 151,445.95
  4. Step 4: Simplify right side
    103,323.09x = 22,935,876,717.94
  5. Step 5: Solve for x
    x = 22,935,876,717.94/103,323.09
  6. Step 6: Final answer
    x = 221,982.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.