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Finding the Third Proportional to 99,295.50 and 138,898.50

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Solution

The third proportional to 99,295.50 and 138,898.50 is: 194,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,295.50 : 138,898.50 = 138,898.50 : x
  2. Step 2: Convert to fraction form
    99,295.50/138,898.50 = 138,898.50/x
  3. Step 3: Cross multiply
    99,295.50x = 138,898.50 × 138,898.50
  4. Step 4: Simplify right side
    99,295.50x = 19,292,793,302.25
  5. Step 5: Solve for x
    x = 19,292,793,302.25/99,295.50
  6. Step 6: Final answer
    x = 194,296.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.