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Finding the Third Proportional to 205,208,601,259 and 441,300,391,370

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Solution

The third proportional to 205,208,601,259 and 441,300,391,370 is: 949,014,974,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,208,601,259 : 441,300,391,370 = 441,300,391,370 : x
  2. Step 2: Convert to fraction form
    205,208,601,259/441,300,391,370 = 441,300,391,370/x
  3. Step 3: Cross multiply
    205,208,601,259x = 441,300,391,370 × 441,300,391,370
  4. Step 4: Simplify right side
    205,208,601,259x = 194,746,035,423,315,167,805,440
  5. Step 5: Solve for x
    x = 194,746,035,423,315,167,805,440/205,208,601,259
  6. Step 6: Final answer
    x = 949,014,974,170.21

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