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Finding the Third Proportional to 46,552 and 99,206

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Solution

The third proportional to 46,552 and 99,206 is: 211,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,552 : 99,206 = 99,206 : x
  2. Step 2: Convert to fraction form
    46,552/99,206 = 99,206/x
  3. Step 3: Cross multiply
    46,552x = 99,206 × 99,206
  4. Step 4: Simplify right side
    46,552x = 9,841,830,436
  5. Step 5: Solve for x
    x = 9,841,830,436/46,552
  6. Step 6: Final answer
    x = 211,415.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.