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Finding the Third Proportional to 103,633,901 and 221,616,706

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Solution

The third proportional to 103,633,901 and 221,616,706 is: 473,917,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,901 : 221,616,706 = 221,616,706 : x
  2. Step 2: Convert to fraction form
    103,633,901/221,616,706 = 221,616,706/x
  3. Step 3: Cross multiply
    103,633,901x = 221,616,706 × 221,616,706
  4. Step 4: Simplify right side
    103,633,901x = 49,113,964,378,290,432
  5. Step 5: Solve for x
    x = 49,113,964,378,290,432/103,633,901
  6. Step 6: Final answer
    x = 473,917,935.20

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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.