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Finding the Third Proportional to 46,221 and 99,567

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Solution

The third proportional to 46,221 and 99,567 is: 214,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,221 : 99,567 = 99,567 : x
  2. Step 2: Convert to fraction form
    46,221/99,567 = 99,567/x
  3. Step 3: Cross multiply
    46,221x = 99,567 × 99,567
  4. Step 4: Simplify right side
    46,221x = 9,913,587,489
  5. Step 5: Solve for x
    x = 9,913,587,489/46,221
  6. Step 6: Final answer
    x = 214,482.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.