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Finding the Third Proportional to 46,883.81 and 95,681.25

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Solution

The third proportional to 46,883.81 and 95,681.25 is: 195,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,883.81 : 95,681.25 = 95,681.25 : x
  2. Step 2: Convert to fraction form
    46,883.81/95,681.25 = 95,681.25/x
  3. Step 3: Cross multiply
    46,883.81x = 95,681.25 × 95,681.25
  4. Step 4: Simplify right side
    46,883.81x = 9,154,901,601.56
  5. Step 5: Solve for x
    x = 9,154,901,601.56/46,883.81
  6. Step 6: Final answer
    x = 195,267.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.