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Finding the Third Proportional to 88,477.31 and 191,714.34

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Solution

The third proportional to 88,477.31 and 191,714.34 is: 415,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,477.31 : 191,714.34 = 191,714.34 : x
  2. Step 2: Convert to fraction form
    88,477.31/191,714.34 = 191,714.34/x
  3. Step 3: Cross multiply
    88,477.31x = 191,714.34 × 191,714.34
  4. Step 4: Simplify right side
    88,477.31x = 36,754,389,599.49
  5. Step 5: Solve for x
    x = 36,754,389,599.49/88,477.31
  6. Step 6: Final answer
    x = 415,410.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.