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Finding the Third Proportional to 46,032 and 99,309

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Solution

The third proportional to 46,032 and 99,309 is: 214,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,032 : 99,309 = 99,309 : x
  2. Step 2: Convert to fraction form
    46,032/99,309 = 99,309/x
  3. Step 3: Cross multiply
    46,032x = 99,309 × 99,309
  4. Step 4: Simplify right side
    46,032x = 9,862,277,481
  5. Step 5: Solve for x
    x = 9,862,277,481/46,032
  6. Step 6: Final answer
    x = 214,248.29

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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.