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Finding the Third Proportional to 46,384 and 99,328

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Solution

The third proportional to 46,384 and 99,328 is: 212,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,384 : 99,328 = 99,328 : x
  2. Step 2: Convert to fraction form
    46,384/99,328 = 99,328/x
  3. Step 3: Cross multiply
    46,384x = 99,328 × 99,328
  4. Step 4: Simplify right side
    46,384x = 9,866,051,584
  5. Step 5: Solve for x
    x = 9,866,051,584/46,384
  6. Step 6: Final answer
    x = 212,703.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.