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Finding the Third Proportional to 98,613 and 146,803.50

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Solution

The third proportional to 98,613 and 146,803.50 is: 218,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,613 : 146,803.50 = 146,803.50 : x
  2. Step 2: Convert to fraction form
    98,613/146,803.50 = 146,803.50/x
  3. Step 3: Cross multiply
    98,613x = 146,803.50 × 146,803.50
  4. Step 4: Simplify right side
    98,613x = 21,551,267,612.25
  5. Step 5: Solve for x
    x = 21,551,267,612.25/98,613
  6. Step 6: Final answer
    x = 218,543.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.