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Finding the Third Proportional to 46,990 and 101,315.25

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Solution

The third proportional to 46,990 and 101,315.25 is: 218,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990 : 101,315.25 = 101,315.25 : x
  2. Step 2: Convert to fraction form
    46,990/101,315.25 = 101,315.25/x
  3. Step 3: Cross multiply
    46,990x = 101,315.25 × 101,315.25
  4. Step 4: Simplify right side
    46,990x = 10,264,779,882.56
  5. Step 5: Solve for x
    x = 10,264,779,882.56/46,990
  6. Step 6: Final answer
    x = 218,446.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.