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Finding the Third Proportional to 205,208,601,255 and 441,300,391,362

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Solution

The third proportional to 205,208,601,255 and 441,300,391,362 is: 949,014,974,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,208,601,255 : 441,300,391,362 = 441,300,391,362 : x
  2. Step 2: Convert to fraction form
    205,208,601,255/441,300,391,362 = 441,300,391,362/x
  3. Step 3: Cross multiply
    205,208,601,255x = 441,300,391,362 × 441,300,391,362
  4. Step 4: Simplify right side
    205,208,601,255x = 194,746,035,416,254,375,788,544
  5. Step 5: Solve for x
    x = 194,746,035,416,254,375,788,544/205,208,601,255
  6. Step 6: Final answer
    x = 949,014,974,154.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.