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Finding the Third Proportional to 44,364 and 96,113

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Solution

The third proportional to 44,364 and 96,113 is: 208,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,364 : 96,113 = 96,113 : x
  2. Step 2: Convert to fraction form
    44,364/96,113 = 96,113/x
  3. Step 3: Cross multiply
    44,364x = 96,113 × 96,113
  4. Step 4: Simplify right side
    44,364x = 9,237,708,769
  5. Step 5: Solve for x
    x = 9,237,708,769/44,364
  6. Step 6: Final answer
    x = 208,225.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.