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Finding the Third Proportional to 98,607.38 and 146,392.31

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Solution

The third proportional to 98,607.38 and 146,392.31 is: 217,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,607.38 : 146,392.31 = 146,392.31 : x
  2. Step 2: Convert to fraction form
    98,607.38/146,392.31 = 146,392.31/x
  3. Step 3: Cross multiply
    98,607.38x = 146,392.31 × 146,392.31
  4. Step 4: Simplify right side
    98,607.38x = 21,430,709,159.10
  5. Step 5: Solve for x
    x = 21,430,709,159.10/98,607.38
  6. Step 6: Final answer
    x = 217,333.74

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.