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Finding the Third Proportional to 197,905.50 and 432,102.38

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Solution

The third proportional to 197,905.50 and 432,102.38 is: 943,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,905.50 : 432,102.38 = 432,102.38 : x
  2. Step 2: Convert to fraction form
    197,905.50/432,102.38 = 432,102.38/x
  3. Step 3: Cross multiply
    197,905.50x = 432,102.38 × 432,102.38
  4. Step 4: Simplify right side
    197,905.50x = 186,712,462,480.64
  5. Step 5: Solve for x
    x = 186,712,462,480.64/197,905.50
  6. Step 6: Final answer
    x = 943,442.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.