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Finding the Third Proportional to 46,064 and 99,400

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Solution

The third proportional to 46,064 and 99,400 is: 214,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,064 : 99,400 = 99,400 : x
  2. Step 2: Convert to fraction form
    46,064/99,400 = 99,400/x
  3. Step 3: Cross multiply
    46,064x = 99,400 × 99,400
  4. Step 4: Simplify right side
    46,064x = 9,880,360,000
  5. Step 5: Solve for x
    x = 9,880,360,000/46,064
  6. Step 6: Final answer
    x = 214,492.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.