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Finding the Third Proportional to 46,901 and 99,952

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Solution

The third proportional to 46,901 and 99,952 is: 213,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,901 : 99,952 = 99,952 : x
  2. Step 2: Convert to fraction form
    46,901/99,952 = 99,952/x
  3. Step 3: Cross multiply
    46,901x = 99,952 × 99,952
  4. Step 4: Simplify right side
    46,901x = 9,990,402,304
  5. Step 5: Solve for x
    x = 9,990,402,304/46,901
  6. Step 6: Final answer
    x = 213,010.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.