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Finding the Third Proportional to 100,916.44 and 237,888.28

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Solution

The third proportional to 100,916.44 and 237,888.28 is: 560,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,916.44 : 237,888.28 = 237,888.28 : x
  2. Step 2: Convert to fraction form
    100,916.44/237,888.28 = 237,888.28/x
  3. Step 3: Cross multiply
    100,916.44x = 237,888.28 × 237,888.28
  4. Step 4: Simplify right side
    100,916.44x = 56,590,834,356.08
  5. Step 5: Solve for x
    x = 56,590,834,356.08/100,916.44
  6. Step 6: Final answer
    x = 560,769.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.