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Finding the Third Proportional to 46,206 and 99,783

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Solution

The third proportional to 46,206 and 99,783 is: 215,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 99,783 = 99,783 : x
  2. Step 2: Convert to fraction form
    46,206/99,783 = 99,783/x
  3. Step 3: Cross multiply
    46,206x = 99,783 × 99,783
  4. Step 4: Simplify right side
    46,206x = 9,956,647,089
  5. Step 5: Solve for x
    x = 9,956,647,089/46,206
  6. Step 6: Final answer
    x = 215,483.86

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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.