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Finding the Third Proportional to 46,229 and 99,583

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Solution

The third proportional to 46,229 and 99,583 is: 214,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,229 : 99,583 = 99,583 : x
  2. Step 2: Convert to fraction form
    46,229/99,583 = 99,583/x
  3. Step 3: Cross multiply
    46,229x = 99,583 × 99,583
  4. Step 4: Simplify right side
    46,229x = 9,916,773,889
  5. Step 5: Solve for x
    x = 9,916,773,889/46,229
  6. Step 6: Final answer
    x = 214,514.13

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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.