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Finding the Third Proportional to 46,152 and 98,928

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Solution

The third proportional to 46,152 and 98,928 is: 212,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152 : 98,928 = 98,928 : x
  2. Step 2: Convert to fraction form
    46,152/98,928 = 98,928/x
  3. Step 3: Cross multiply
    46,152x = 98,928 × 98,928
  4. Step 4: Simplify right side
    46,152x = 9,786,749,184
  5. Step 5: Solve for x
    x = 9,786,749,184/46,152
  6. Step 6: Final answer
    x = 212,054.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.