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Finding the Third Proportional to 103,518,903 and 221,579,532

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Solution

The third proportional to 103,518,903 and 221,579,532 is: 474,285,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,518,903 : 221,579,532 = 221,579,532 : x
  2. Step 2: Convert to fraction form
    103,518,903/221,579,532 = 221,579,532/x
  3. Step 3: Cross multiply
    103,518,903x = 221,579,532 × 221,579,532
  4. Step 4: Simplify right side
    103,518,903x = 49,097,489,001,339,024
  5. Step 5: Solve for x
    x = 49,097,489,001,339,024/103,518,903
  6. Step 6: Final answer
    x = 474,285,252.05

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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.