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Finding the Third Proportional to 46,336 and 100,048

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Solution

The third proportional to 46,336 and 100,048 is: 216,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,336 : 100,048 = 100,048 : x
  2. Step 2: Convert to fraction form
    46,336/100,048 = 100,048/x
  3. Step 3: Cross multiply
    46,336x = 100,048 × 100,048
  4. Step 4: Simplify right side
    46,336x = 10,009,602,304
  5. Step 5: Solve for x
    x = 10,009,602,304/46,336
  6. Step 6: Final answer
    x = 216,022.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.