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Finding the Third Proportional to 46,732.88 and 102,513

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Solution

The third proportional to 46,732.88 and 102,513 is: 224,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,732.88 : 102,513 = 102,513 : x
  2. Step 2: Convert to fraction form
    46,732.88/102,513 = 102,513/x
  3. Step 3: Cross multiply
    46,732.88x = 102,513 × 102,513
  4. Step 4: Simplify right side
    46,732.88x = 10,508,915,169
  5. Step 5: Solve for x
    x = 10,508,915,169/46,732.88
  6. Step 6: Final answer
    x = 224,872.00

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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.