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Finding the Third Proportional to 44,346 and 97,314

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Solution

The third proportional to 44,346 and 97,314 is: 213,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,346 : 97,314 = 97,314 : x
  2. Step 2: Convert to fraction form
    44,346/97,314 = 97,314/x
  3. Step 3: Cross multiply
    44,346x = 97,314 × 97,314
  4. Step 4: Simplify right side
    44,346x = 9,470,014,596
  5. Step 5: Solve for x
    x = 9,470,014,596/44,346
  6. Step 6: Final answer
    x = 213,548.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.