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Finding the Third Proportional to 64,418.34 and 97,333.59

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Solution

The third proportional to 64,418.34 and 97,333.59 is: 147,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,418.34 : 97,333.59 = 97,333.59 : x
  2. Step 2: Convert to fraction form
    64,418.34/97,333.59 = 97,333.59/x
  3. Step 3: Cross multiply
    64,418.34x = 97,333.59 × 97,333.59
  4. Step 4: Simplify right side
    64,418.34x = 9,473,828,472.29
  5. Step 5: Solve for x
    x = 9,473,828,472.29/64,418.34
  6. Step 6: Final answer
    x = 147,067.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.