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Finding the Third Proportional to 46,293.19 and 69,135.19

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Solution

The third proportional to 46,293.19 and 69,135.19 is: 103,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,293.19 : 69,135.19 = 69,135.19 : x
  2. Step 2: Convert to fraction form
    46,293.19/69,135.19 = 69,135.19/x
  3. Step 3: Cross multiply
    46,293.19x = 69,135.19 × 69,135.19
  4. Step 4: Simplify right side
    46,293.19x = 4,779,674,150.66
  5. Step 5: Solve for x
    x = 4,779,674,150.66/46,293.19
  6. Step 6: Final answer
    x = 103,247.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.