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Finding the Third Proportional to 103,473 and 221,708

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Solution

The third proportional to 103,473 and 221,708 is: 475,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,473 : 221,708 = 221,708 : x
  2. Step 2: Convert to fraction form
    103,473/221,708 = 221,708/x
  3. Step 3: Cross multiply
    103,473x = 221,708 × 221,708
  4. Step 4: Simplify right side
    103,473x = 49,154,437,264
  5. Step 5: Solve for x
    x = 49,154,437,264/103,473
  6. Step 6: Final answer
    x = 475,046.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.