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Finding the Third Proportional to 99,300 and 138,904.50

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Solution

The third proportional to 99,300 and 138,904.50 is: 194,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,300 : 138,904.50 = 138,904.50 : x
  2. Step 2: Convert to fraction form
    99,300/138,904.50 = 138,904.50/x
  3. Step 3: Cross multiply
    99,300x = 138,904.50 × 138,904.50
  4. Step 4: Simplify right side
    99,300x = 19,294,460,120.25
  5. Step 5: Solve for x
    x = 19,294,460,120.25/99,300
  6. Step 6: Final answer
    x = 194,304.73

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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.