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Finding the Third Proportional to 94,597.50 and 202,047

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Solution

The third proportional to 94,597.50 and 202,047 is: 431,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,597.50 : 202,047 = 202,047 : x
  2. Step 2: Convert to fraction form
    94,597.50/202,047 = 202,047/x
  3. Step 3: Cross multiply
    94,597.50x = 202,047 × 202,047
  4. Step 4: Simplify right side
    94,597.50x = 40,822,990,209
  5. Step 5: Solve for x
    x = 40,822,990,209/94,597.50
  6. Step 6: Final answer
    x = 431,544.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.