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Finding the Third Proportional to 98,835 and 147,981

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Solution

The third proportional to 98,835 and 147,981 is: 221,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,835 : 147,981 = 147,981 : x
  2. Step 2: Convert to fraction form
    98,835/147,981 = 147,981/x
  3. Step 3: Cross multiply
    98,835x = 147,981 × 147,981
  4. Step 4: Simplify right side
    98,835x = 21,898,376,361
  5. Step 5: Solve for x
    x = 21,898,376,361/98,835
  6. Step 6: Final answer
    x = 221,565.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.