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Finding the Third Proportional to 45,142.31 and 97,427.81

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Solution

The third proportional to 45,142.31 and 97,427.81 is: 210,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,142.31 : 97,427.81 = 97,427.81 : x
  2. Step 2: Convert to fraction form
    45,142.31/97,427.81 = 97,427.81/x
  3. Step 3: Cross multiply
    45,142.31x = 97,427.81 × 97,427.81
  4. Step 4: Simplify right side
    45,142.31x = 9,492,178,648.54
  5. Step 5: Solve for x
    x = 9,492,178,648.54/45,142.31
  6. Step 6: Final answer
    x = 210,272.32

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Why These Related Problems?

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