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Finding the Third Proportional to 46,187.63 and 99,498.38

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Solution

The third proportional to 46,187.63 and 99,498.38 is: 214,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,187.63 : 99,498.38 = 99,498.38 : x
  2. Step 2: Convert to fraction form
    46,187.63/99,498.38 = 99,498.38/x
  3. Step 3: Cross multiply
    46,187.63x = 99,498.38 × 99,498.38
  4. Step 4: Simplify right side
    46,187.63x = 9,899,926,627.64
  5. Step 5: Solve for x
    x = 9,899,926,627.64/46,187.63
  6. Step 6: Final answer
    x = 214,341.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.