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Finding the Third Proportional to 45,646.03 and 68,090.63

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Solution

The third proportional to 45,646.03 and 68,090.63 is: 101,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,646.03 : 68,090.63 = 68,090.63 : x
  2. Step 2: Convert to fraction form
    45,646.03/68,090.63 = 68,090.63/x
  3. Step 3: Cross multiply
    45,646.03x = 68,090.63 × 68,090.63
  4. Step 4: Simplify right side
    45,646.03x = 4,636,333,212.89
  5. Step 5: Solve for x
    x = 4,636,333,212.89/45,646.03
  6. Step 6: Final answer
    x = 101,571.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.