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Finding the Third Proportional to 89,203.78 and 130,456.83

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Solution

The third proportional to 89,203.78 and 130,456.83 is: 190,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,203.78 : 130,456.83 = 130,456.83 : x
  2. Step 2: Convert to fraction form
    89,203.78/130,456.83 = 130,456.83/x
  3. Step 3: Cross multiply
    89,203.78x = 130,456.83 × 130,456.83
  4. Step 4: Simplify right side
    89,203.78x = 17,018,984,004.44
  5. Step 5: Solve for x
    x = 17,018,984,004.44/89,203.78
  6. Step 6: Final answer
    x = 190,787.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.