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Finding the Third Proportional to 98,176.69 and 211,859.81

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Solution

The third proportional to 98,176.69 and 211,859.81 is: 457,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,176.69 : 211,859.81 = 211,859.81 : x
  2. Step 2: Convert to fraction form
    98,176.69/211,859.81 = 211,859.81/x
  3. Step 3: Cross multiply
    98,176.69x = 211,859.81 × 211,859.81
  4. Step 4: Simplify right side
    98,176.69x = 44,884,580,152.54
  5. Step 5: Solve for x
    x = 44,884,580,152.54/98,176.69
  6. Step 6: Final answer
    x = 457,181.65

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