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Finding the Third Proportional to 98,522 and 152,865.50

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Solution

The third proportional to 98,522 and 152,865.50 is: 237,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,522 : 152,865.50 = 152,865.50 : x
  2. Step 2: Convert to fraction form
    98,522/152,865.50 = 152,865.50/x
  3. Step 3: Cross multiply
    98,522x = 152,865.50 × 152,865.50
  4. Step 4: Simplify right side
    98,522x = 23,367,861,090.25
  5. Step 5: Solve for x
    x = 23,367,861,090.25/98,522
  6. Step 6: Final answer
    x = 237,184.19

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