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Finding the Third Proportional to 103,654 and 221,522

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Solution

The third proportional to 103,654 and 221,522 is: 473,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654 : 221,522 = 221,522 : x
  2. Step 2: Convert to fraction form
    103,654/221,522 = 221,522/x
  3. Step 3: Cross multiply
    103,654x = 221,522 × 221,522
  4. Step 4: Simplify right side
    103,654x = 49,071,996,484
  5. Step 5: Solve for x
    x = 49,071,996,484/103,654
  6. Step 6: Final answer
    x = 473,421.16

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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.