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Finding the Third Proportional to 46,984 and 98,890

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Solution

The third proportional to 46,984 and 98,890 is: 208,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,984 : 98,890 = 98,890 : x
  2. Step 2: Convert to fraction form
    46,984/98,890 = 98,890/x
  3. Step 3: Cross multiply
    46,984x = 98,890 × 98,890
  4. Step 4: Simplify right side
    46,984x = 9,779,232,100
  5. Step 5: Solve for x
    x = 9,779,232,100/46,984
  6. Step 6: Final answer
    x = 208,139.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.