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Finding the Third Proportional to 46,913 and 99,926

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Solution

The third proportional to 46,913 and 99,926 is: 212,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,913 : 99,926 = 99,926 : x
  2. Step 2: Convert to fraction form
    46,913/99,926 = 99,926/x
  3. Step 3: Cross multiply
    46,913x = 99,926 × 99,926
  4. Step 4: Simplify right side
    46,913x = 9,985,205,476
  5. Step 5: Solve for x
    x = 9,985,205,476/46,913
  6. Step 6: Final answer
    x = 212,845.17

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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.