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Finding the Third Proportional to 40,875.19 and 88,201.69

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Solution

The third proportional to 40,875.19 and 88,201.69 is: 190,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,875.19 : 88,201.69 = 88,201.69 : x
  2. Step 2: Convert to fraction form
    40,875.19/88,201.69 = 88,201.69/x
  3. Step 3: Cross multiply
    40,875.19x = 88,201.69 × 88,201.69
  4. Step 4: Simplify right side
    40,875.19x = 7,779,537,677.85
  5. Step 5: Solve for x
    x = 7,779,537,677.85/40,875.19
  6. Step 6: Final answer
    x = 190,324.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.