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Finding the Third Proportional to 98,290 and 147,931

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Solution

The third proportional to 98,290 and 147,931 is: 222,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,290 : 147,931 = 147,931 : x
  2. Step 2: Convert to fraction form
    98,290/147,931 = 147,931/x
  3. Step 3: Cross multiply
    98,290x = 147,931 × 147,931
  4. Step 4: Simplify right side
    98,290x = 21,883,580,761
  5. Step 5: Solve for x
    x = 21,883,580,761/98,290
  6. Step 6: Final answer
    x = 222,643.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.