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Finding the Third Proportional to 197,098.31 and 432,347.63

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Solution

The third proportional to 197,098.31 and 432,347.63 is: 948,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,098.31 : 432,347.63 = 432,347.63 : x
  2. Step 2: Convert to fraction form
    197,098.31/432,347.63 = 432,347.63/x
  3. Step 3: Cross multiply
    197,098.31x = 432,347.63 × 432,347.63
  4. Step 4: Simplify right side
    197,098.31x = 186,924,468,843.14
  5. Step 5: Solve for x
    x = 186,924,468,843.14/197,098.31
  6. Step 6: Final answer
    x = 948,381.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.