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Finding the Third Proportional to 46,096.44 and 100,570.68

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Solution

The third proportional to 46,096.44 and 100,570.68 is: 219,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,096.44 : 100,570.68 = 100,570.68 : x
  2. Step 2: Convert to fraction form
    46,096.44/100,570.68 = 100,570.68/x
  3. Step 3: Cross multiply
    46,096.44x = 100,570.68 × 100,570.68
  4. Step 4: Simplify right side
    46,096.44x = 10,114,460,827.10
  5. Step 5: Solve for x
    x = 10,114,460,827.10/46,096.44
  6. Step 6: Final answer
    x = 219,419.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.