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Finding the Third Proportional to 46,048.50 and 96,987.38

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Solution

The third proportional to 46,048.50 and 96,987.38 is: 204,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,048.50 : 96,987.38 = 96,987.38 : x
  2. Step 2: Convert to fraction form
    46,048.50/96,987.38 = 96,987.38/x
  3. Step 3: Cross multiply
    46,048.50x = 96,987.38 × 96,987.38
  4. Step 4: Simplify right side
    46,048.50x = 9,406,550,909.39
  5. Step 5: Solve for x
    x = 9,406,550,909.39/46,048.50
  6. Step 6: Final answer
    x = 204,274.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.