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Finding the Third Proportional to 41,457 and 97,454.50

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Solution

The third proportional to 41,457 and 97,454.50 is: 229,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,457 : 97,454.50 = 97,454.50 : x
  2. Step 2: Convert to fraction form
    41,457/97,454.50 = 97,454.50/x
  3. Step 3: Cross multiply
    41,457x = 97,454.50 × 97,454.50
  4. Step 4: Simplify right side
    41,457x = 9,497,379,570.25
  5. Step 5: Solve for x
    x = 9,497,379,570.25/41,457
  6. Step 6: Final answer
    x = 229,089.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.