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Finding the Third Proportional to 90,714.94 and 197,169.19

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Solution

The third proportional to 90,714.94 and 197,169.19 is: 428,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,714.94 : 197,169.19 = 197,169.19 : x
  2. Step 2: Convert to fraction form
    90,714.94/197,169.19 = 197,169.19/x
  3. Step 3: Cross multiply
    90,714.94x = 197,169.19 × 197,169.19
  4. Step 4: Simplify right side
    90,714.94x = 38,875,688,499.41
  5. Step 5: Solve for x
    x = 38,875,688,499.41/90,714.94
  6. Step 6: Final answer
    x = 428,547.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.