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Finding the Third Proportional to 99,710 and 220,148

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Solution

The third proportional to 99,710 and 220,148 is: 486,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,710 : 220,148 = 220,148 : x
  2. Step 2: Convert to fraction form
    99,710/220,148 = 220,148/x
  3. Step 3: Cross multiply
    99,710x = 220,148 × 220,148
  4. Step 4: Simplify right side
    99,710x = 48,465,141,904
  5. Step 5: Solve for x
    x = 48,465,141,904/99,710
  6. Step 6: Final answer
    x = 486,061.00

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.