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Finding the Third Proportional to 46,983.38 and 97,854.75

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Solution

The third proportional to 46,983.38 and 97,854.75 is: 203,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,983.38 : 97,854.75 = 97,854.75 : x
  2. Step 2: Convert to fraction form
    46,983.38/97,854.75 = 97,854.75/x
  3. Step 3: Cross multiply
    46,983.38x = 97,854.75 × 97,854.75
  4. Step 4: Simplify right side
    46,983.38x = 9,575,552,097.56
  5. Step 5: Solve for x
    x = 9,575,552,097.56/46,983.38
  6. Step 6: Final answer
    x = 203,807.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.