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Finding the Third Proportional to 46,068 and 96,777.75

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Solution

The third proportional to 46,068 and 96,777.75 is: 203,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,068 : 96,777.75 = 96,777.75 : x
  2. Step 2: Convert to fraction form
    46,068/96,777.75 = 96,777.75/x
  3. Step 3: Cross multiply
    46,068x = 96,777.75 × 96,777.75
  4. Step 4: Simplify right side
    46,068x = 9,365,932,895.06
  5. Step 5: Solve for x
    x = 9,365,932,895.06/46,068
  6. Step 6: Final answer
    x = 203,306.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.