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Finding the Third Proportional to 64,379.81 and 97,902.42

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Solution

The third proportional to 64,379.81 and 97,902.42 is: 148,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,379.81 : 97,902.42 = 97,902.42 : x
  2. Step 2: Convert to fraction form
    64,379.81/97,902.42 = 97,902.42/x
  3. Step 3: Cross multiply
    64,379.81x = 97,902.42 × 97,902.42
  4. Step 4: Simplify right side
    64,379.81x = 9,584,884,208.99
  5. Step 5: Solve for x
    x = 9,584,884,208.99/64,379.81
  6. Step 6: Final answer
    x = 148,880.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.