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Finding the Third Proportional to 46,402 and 99,364

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Solution

The third proportional to 46,402 and 99,364 is: 212,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,402 : 99,364 = 99,364 : x
  2. Step 2: Convert to fraction form
    46,402/99,364 = 99,364/x
  3. Step 3: Cross multiply
    46,402x = 99,364 × 99,364
  4. Step 4: Simplify right side
    46,402x = 9,873,204,496
  5. Step 5: Solve for x
    x = 9,873,204,496/46,402
  6. Step 6: Final answer
    x = 212,775.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.