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Finding the Third Proportional to 99,784.50 and 146,757

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Solution

The third proportional to 99,784.50 and 146,757 is: 215,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,784.50 : 146,757 = 146,757 : x
  2. Step 2: Convert to fraction form
    99,784.50/146,757 = 146,757/x
  3. Step 3: Cross multiply
    99,784.50x = 146,757 × 146,757
  4. Step 4: Simplify right side
    99,784.50x = 21,537,617,049
  5. Step 5: Solve for x
    x = 21,537,617,049/99,784.50
  6. Step 6: Final answer
    x = 215,841.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.