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Finding the Third Proportional to 46,767.94 and 102,283.88

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Solution

The third proportional to 46,767.94 and 102,283.88 is: 223,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767.94 : 102,283.88 = 102,283.88 : x
  2. Step 2: Convert to fraction form
    46,767.94/102,283.88 = 102,283.88/x
  3. Step 3: Cross multiply
    46,767.94x = 102,283.88 × 102,283.88
  4. Step 4: Simplify right side
    46,767.94x = 10,461,991,085.02
  5. Step 5: Solve for x
    x = 10,461,991,085.02/46,767.94
  6. Step 6: Final answer
    x = 223,700.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.