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Finding the Third Proportional to 101,710.13 and 221,502

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Solution

The third proportional to 101,710.13 and 221,502 is: 482,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.13 : 221,502 = 221,502 : x
  2. Step 2: Convert to fraction form
    101,710.13/221,502 = 221,502/x
  3. Step 3: Cross multiply
    101,710.13x = 221,502 × 221,502
  4. Step 4: Simplify right side
    101,710.13x = 49,063,136,004
  5. Step 5: Solve for x
    x = 49,063,136,004/101,710.13
  6. Step 6: Final answer
    x = 482,382.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.