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Finding the Third Proportional to 102,470.06 and 216,080.16

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Solution

The third proportional to 102,470.06 and 216,080.16 is: 455,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,470.06 : 216,080.16 = 216,080.16 : x
  2. Step 2: Convert to fraction form
    102,470.06/216,080.16 = 216,080.16/x
  3. Step 3: Cross multiply
    102,470.06x = 216,080.16 × 216,080.16
  4. Step 4: Simplify right side
    102,470.06x = 46,690,633,925.02
  5. Step 5: Solve for x
    x = 46,690,633,925.02/102,470.06
  6. Step 6: Final answer
    x = 455,651.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.