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Finding the Third Proportional to 44,628 and 97,881

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Solution

The third proportional to 44,628 and 97,881 is: 214,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,628 : 97,881 = 97,881 : x
  2. Step 2: Convert to fraction form
    44,628/97,881 = 97,881/x
  3. Step 3: Cross multiply
    44,628x = 97,881 × 97,881
  4. Step 4: Simplify right side
    44,628x = 9,580,690,161
  5. Step 5: Solve for x
    x = 9,580,690,161/44,628
  6. Step 6: Final answer
    x = 214,678.90

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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.