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Finding the Third Proportional to 103,043 and 217,156.50

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Solution

The third proportional to 103,043 and 217,156.50 is: 457,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,043 : 217,156.50 = 217,156.50 : x
  2. Step 2: Convert to fraction form
    103,043/217,156.50 = 217,156.50/x
  3. Step 3: Cross multiply
    103,043x = 217,156.50 × 217,156.50
  4. Step 4: Simplify right side
    103,043x = 47,156,945,492.25
  5. Step 5: Solve for x
    x = 47,156,945,492.25/103,043
  6. Step 6: Final answer
    x = 457,643.37

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.