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Finding the Third Proportional to 42,477.75 and 99,208.13

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Solution

The third proportional to 42,477.75 and 99,208.13 is: 231,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.75 : 99,208.13 = 99,208.13 : x
  2. Step 2: Convert to fraction form
    42,477.75/99,208.13 = 99,208.13/x
  3. Step 3: Cross multiply
    42,477.75x = 99,208.13 × 99,208.13
  4. Step 4: Simplify right side
    42,477.75x = 9,842,252,066.02
  5. Step 5: Solve for x
    x = 9,842,252,066.02/42,477.75
  6. Step 6: Final answer
    x = 231,703.71

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.