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Finding the Third Proportional to 101,903.63 and 146,779.88

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Solution

The third proportional to 101,903.63 and 146,779.88 is: 211,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,903.63 : 146,779.88 = 146,779.88 : x
  2. Step 2: Convert to fraction form
    101,903.63/146,779.88 = 146,779.88/x
  3. Step 3: Cross multiply
    101,903.63x = 146,779.88 × 146,779.88
  4. Step 4: Simplify right side
    101,903.63x = 21,544,331,705.02
  5. Step 5: Solve for x
    x = 21,544,331,705.02/101,903.63
  6. Step 6: Final answer
    x = 211,418.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.