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Finding the Third Proportional to 94,478 and 207,385.75

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Solution

The third proportional to 94,478 and 207,385.75 is: 455,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,478 : 207,385.75 = 207,385.75 : x
  2. Step 2: Convert to fraction form
    94,478/207,385.75 = 207,385.75/x
  3. Step 3: Cross multiply
    94,478x = 207,385.75 × 207,385.75
  4. Step 4: Simplify right side
    94,478x = 43,008,849,303.06
  5. Step 5: Solve for x
    x = 43,008,849,303.06/94,478
  6. Step 6: Final answer
    x = 455,226.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.