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Finding the Third Proportional to 103,633,998 and 221,616,903

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Solution

The third proportional to 103,633,998 and 221,616,903 is: 473,918,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,998 : 221,616,903 = 221,616,903 : x
  2. Step 2: Convert to fraction form
    103,633,998/221,616,903 = 221,616,903/x
  3. Step 3: Cross multiply
    103,633,998x = 221,616,903 × 221,616,903
  4. Step 4: Simplify right side
    103,633,998x = 49,114,051,695,311,408
  5. Step 5: Solve for x
    x = 49,114,051,695,311,408/103,633,998
  6. Step 6: Final answer
    x = 473,918,334.17

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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.