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Finding the Third Proportional to 43,905 and 97,636.50

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Solution

The third proportional to 43,905 and 97,636.50 is: 217,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,905 : 97,636.50 = 97,636.50 : x
  2. Step 2: Convert to fraction form
    43,905/97,636.50 = 97,636.50/x
  3. Step 3: Cross multiply
    43,905x = 97,636.50 × 97,636.50
  4. Step 4: Simplify right side
    43,905x = 9,532,886,132.25
  5. Step 5: Solve for x
    x = 9,532,886,132.25/43,905
  6. Step 6: Final answer
    x = 217,125.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.