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Finding the Third Proportional to 98,670.66 and 216,120.66

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Solution

The third proportional to 98,670.66 and 216,120.66 is: 473,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,670.66 : 216,120.66 = 216,120.66 : x
  2. Step 2: Convert to fraction form
    98,670.66/216,120.66 = 216,120.66/x
  3. Step 3: Cross multiply
    98,670.66x = 216,120.66 × 216,120.66
  4. Step 4: Simplify right side
    98,670.66x = 46,708,138,057.93
  5. Step 5: Solve for x
    x = 46,708,138,057.93/98,670.66
  6. Step 6: Final answer
    x = 473,374.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.