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Finding the Third Proportional to 46,650 and 99,888

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Solution

The third proportional to 46,650 and 99,888 is: 213,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,650 : 99,888 = 99,888 : x
  2. Step 2: Convert to fraction form
    46,650/99,888 = 99,888/x
  3. Step 3: Cross multiply
    46,650x = 99,888 × 99,888
  4. Step 4: Simplify right side
    46,650x = 9,977,612,544
  5. Step 5: Solve for x
    x = 9,977,612,544/46,650
  6. Step 6: Final answer
    x = 213,882.37

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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.