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Finding the Third Proportional to 103,633,994 and 221,616,895

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Solution

The third proportional to 103,633,994 and 221,616,895 is: 473,918,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,994 : 221,616,895 = 221,616,895 : x
  2. Step 2: Convert to fraction form
    103,633,994/221,616,895 = 221,616,895/x
  3. Step 3: Cross multiply
    103,633,994x = 221,616,895 × 221,616,895
  4. Step 4: Simplify right side
    103,633,994x = 49,114,048,149,441,024
  5. Step 5: Solve for x
    x = 49,114,048,149,441,024/103,633,994
  6. Step 6: Final answer
    x = 473,918,318.24

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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.