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Finding the Third Proportional to 45,333 and 97,955

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Solution

The third proportional to 45,333 and 97,955 is: 211,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,333 : 97,955 = 97,955 : x
  2. Step 2: Convert to fraction form
    45,333/97,955 = 97,955/x
  3. Step 3: Cross multiply
    45,333x = 97,955 × 97,955
  4. Step 4: Simplify right side
    45,333x = 9,595,182,025
  5. Step 5: Solve for x
    x = 9,595,182,025/45,333
  6. Step 6: Final answer
    x = 211,659.98

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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.