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Finding the Third Proportional to 99,321 and 151,276.50

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Solution

The third proportional to 99,321 and 151,276.50 is: 230,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,321 : 151,276.50 = 151,276.50 : x
  2. Step 2: Convert to fraction form
    99,321/151,276.50 = 151,276.50/x
  3. Step 3: Cross multiply
    99,321x = 151,276.50 × 151,276.50
  4. Step 4: Simplify right side
    99,321x = 22,884,579,452.25
  5. Step 5: Solve for x
    x = 22,884,579,452.25/99,321
  6. Step 6: Final answer
    x = 230,410.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.