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Finding the Third Proportional to 98,030.25 and 146,655.56

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Solution

The third proportional to 98,030.25 and 146,655.56 is: 219,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,030.25 : 146,655.56 = 146,655.56 : x
  2. Step 2: Convert to fraction form
    98,030.25/146,655.56 = 146,655.56/x
  3. Step 3: Cross multiply
    98,030.25x = 146,655.56 × 146,655.56
  4. Step 4: Simplify right side
    98,030.25x = 21,507,854,012.19
  5. Step 5: Solve for x
    x = 21,507,854,012.19/98,030.25
  6. Step 6: Final answer
    x = 219,400.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.