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Finding the Third Proportional to 103,633,974 and 221,616,855

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Solution

The third proportional to 103,633,974 and 221,616,855 is: 473,918,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,974 : 221,616,855 = 221,616,855 : x
  2. Step 2: Convert to fraction form
    103,633,974/221,616,855 = 221,616,855/x
  3. Step 3: Cross multiply
    103,633,974x = 221,616,855 × 221,616,855
  4. Step 4: Simplify right side
    103,633,974x = 49,114,030,420,091,024
  5. Step 5: Solve for x
    x = 49,114,030,420,091,024/103,633,974
  6. Step 6: Final answer
    x = 473,918,238.63

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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.