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Finding the Third Proportional to 101,380 and 216,968

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Solution

The third proportional to 101,380 and 216,968 is: 464,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,380 : 216,968 = 216,968 : x
  2. Step 2: Convert to fraction form
    101,380/216,968 = 216,968/x
  3. Step 3: Cross multiply
    101,380x = 216,968 × 216,968
  4. Step 4: Simplify right side
    101,380x = 47,075,113,024
  5. Step 5: Solve for x
    x = 47,075,113,024/101,380
  6. Step 6: Final answer
    x = 464,343.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.