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Finding the Third Proportional to 103,633,868 and 221,616,640

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Solution

The third proportional to 103,633,868 and 221,616,640 is: 473,917,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,868 : 221,616,640 = 221,616,640 : x
  2. Step 2: Convert to fraction form
    103,633,868/221,616,640 = 221,616,640/x
  3. Step 3: Cross multiply
    103,633,868x = 221,616,640 × 221,616,640
  4. Step 4: Simplify right side
    103,633,868x = 49,113,935,124,889,600
  5. Step 5: Solve for x
    x = 49,113,935,124,889,600/103,633,868
  6. Step 6: Final answer
    x = 473,917,803.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.