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Finding the Third Proportional to 96,172.31 and 210,043.13

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Solution

The third proportional to 96,172.31 and 210,043.13 is: 458,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,172.31 : 210,043.13 = 210,043.13 : x
  2. Step 2: Convert to fraction form
    96,172.31/210,043.13 = 210,043.13/x
  3. Step 3: Cross multiply
    96,172.31x = 210,043.13 × 210,043.13
  4. Step 4: Simplify right side
    96,172.31x = 44,118,114,359.77
  5. Step 5: Solve for x
    x = 44,118,114,359.77/96,172.31
  6. Step 6: Final answer
    x = 458,740.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.