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Finding the Third Proportional to 99,934 and 153,760.50

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Solution

The third proportional to 99,934 and 153,760.50 is: 236,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,934 : 153,760.50 = 153,760.50 : x
  2. Step 2: Convert to fraction form
    99,934/153,760.50 = 153,760.50/x
  3. Step 3: Cross multiply
    99,934x = 153,760.50 × 153,760.50
  4. Step 4: Simplify right side
    99,934x = 23,642,291,360.25
  5. Step 5: Solve for x
    x = 23,642,291,360.25/99,934
  6. Step 6: Final answer
    x = 236,579.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.