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Finding the Third Proportional to 46,244 and 98,248

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Solution

The third proportional to 46,244 and 98,248 is: 208,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,244 : 98,248 = 98,248 : x
  2. Step 2: Convert to fraction form
    46,244/98,248 = 98,248/x
  3. Step 3: Cross multiply
    46,244x = 98,248 × 98,248
  4. Step 4: Simplify right side
    46,244x = 9,652,669,504
  5. Step 5: Solve for x
    x = 9,652,669,504/46,244
  6. Step 6: Final answer
    x = 208,733.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.