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Finding the Third Proportional to 48,897.28 and 107,136.56

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Solution

The third proportional to 48,897.28 and 107,136.56 is: 234,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897.28 : 107,136.56 = 107,136.56 : x
  2. Step 2: Convert to fraction form
    48,897.28/107,136.56 = 107,136.56/x
  3. Step 3: Cross multiply
    48,897.28x = 107,136.56 × 107,136.56
  4. Step 4: Simplify right side
    48,897.28x = 11,478,243,024.32
  5. Step 5: Solve for x
    x = 11,478,243,024.32/48,897.28
  6. Step 6: Final answer
    x = 234,741.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.