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Finding the Third Proportional to 104,303.63 and 214,136.75

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Solution

The third proportional to 104,303.63 and 214,136.75 is: 439,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,303.63 : 214,136.75 = 214,136.75 : x
  2. Step 2: Convert to fraction form
    104,303.63/214,136.75 = 214,136.75/x
  3. Step 3: Cross multiply
    104,303.63x = 214,136.75 × 214,136.75
  4. Step 4: Simplify right side
    104,303.63x = 45,854,547,700.56
  5. Step 5: Solve for x
    x = 45,854,547,700.56/104,303.63
  6. Step 6: Final answer
    x = 439,625.64

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.