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Finding the Third Proportional to 46,762.50 and 103,368

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Solution

The third proportional to 46,762.50 and 103,368 is: 228,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,762.50 : 103,368 = 103,368 : x
  2. Step 2: Convert to fraction form
    46,762.50/103,368 = 103,368/x
  3. Step 3: Cross multiply
    46,762.50x = 103,368 × 103,368
  4. Step 4: Simplify right side
    46,762.50x = 10,684,943,424
  5. Step 5: Solve for x
    x = 10,684,943,424/46,762.50
  6. Step 6: Final answer
    x = 228,493.84

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.