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Finding the Third Proportional to 98,919.51 and 201,334.99

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Solution

The third proportional to 98,919.51 and 201,334.99 is: 409,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,919.51 : 201,334.99 = 201,334.99 : x
  2. Step 2: Convert to fraction form
    98,919.51/201,334.99 = 201,334.99/x
  3. Step 3: Cross multiply
    98,919.51x = 201,334.99 × 201,334.99
  4. Step 4: Simplify right side
    98,919.51x = 40,535,779,079.14
  5. Step 5: Solve for x
    x = 40,535,779,079.14/98,919.51
  6. Step 6: Final answer
    x = 409,785.48

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