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Finding the Third Proportional to 63,098.37 and 138,077.16

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Solution

The third proportional to 63,098.37 and 138,077.16 is: 302,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,098.37 : 138,077.16 = 138,077.16 : x
  2. Step 2: Convert to fraction form
    63,098.37/138,077.16 = 138,077.16/x
  3. Step 3: Cross multiply
    63,098.37x = 138,077.16 × 138,077.16
  4. Step 4: Simplify right side
    63,098.37x = 19,065,301,078.09
  5. Step 5: Solve for x
    x = 19,065,301,078.09/63,098.37
  6. Step 6: Final answer
    x = 302,152.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.