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Finding the Third Proportional to 46,386 and 99,324

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Solution

The third proportional to 46,386 and 99,324 is: 212,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,386 : 99,324 = 99,324 : x
  2. Step 2: Convert to fraction form
    46,386/99,324 = 99,324/x
  3. Step 3: Cross multiply
    46,386x = 99,324 × 99,324
  4. Step 4: Simplify right side
    46,386x = 9,865,256,976
  5. Step 5: Solve for x
    x = 9,865,256,976/46,386
  6. Step 6: Final answer
    x = 212,677.47

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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.