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Finding the Third Proportional to 221,470,935 and 484,629,370.50

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Solution

The third proportional to 221,470,935 and 484,629,370.50 is: 1,060,480,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,470,935 : 484,629,370.50 = 484,629,370.50 : x
  2. Step 2: Convert to fraction form
    221,470,935/484,629,370.50 = 484,629,370.50/x
  3. Step 3: Cross multiply
    221,470,935x = 484,629,370.50 × 484,629,370.50
  4. Step 4: Simplify right side
    221,470,935x = 234,865,626,751,226,272
  5. Step 5: Solve for x
    x = 234,865,626,751,226,272/221,470,935
  6. Step 6: Final answer
    x = 1,060,480,585.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.