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Finding the Third Proportional to 46,151.25 and 108,884.25

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Solution

The third proportional to 46,151.25 and 108,884.25 is: 256,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,151.25 : 108,884.25 = 108,884.25 : x
  2. Step 2: Convert to fraction form
    46,151.25/108,884.25 = 108,884.25/x
  3. Step 3: Cross multiply
    46,151.25x = 108,884.25 × 108,884.25
  4. Step 4: Simplify right side
    46,151.25x = 11,855,779,898.06
  5. Step 5: Solve for x
    x = 11,855,779,898.06/46,151.25
  6. Step 6: Final answer
    x = 256,889.68

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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.