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Finding the Third Proportional to 86,401.13 and 177,106.50

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Solution

The third proportional to 86,401.13 and 177,106.50 is: 363,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,401.13 : 177,106.50 = 177,106.50 : x
  2. Step 2: Convert to fraction form
    86,401.13/177,106.50 = 177,106.50/x
  3. Step 3: Cross multiply
    86,401.13x = 177,106.50 × 177,106.50
  4. Step 4: Simplify right side
    86,401.13x = 31,366,712,342.25
  5. Step 5: Solve for x
    x = 31,366,712,342.25/86,401.13
  6. Step 6: Final answer
    x = 363,035.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.