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Finding the Third Proportional to 50,395,941,861 and 107,980,176,284

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Solution

The third proportional to 50,395,941,861 and 107,980,176,284 is: 231,362,249,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,395,941,861 : 107,980,176,284 = 107,980,176,284 : x
  2. Step 2: Convert to fraction form
    50,395,941,861/107,980,176,284 = 107,980,176,284/x
  3. Step 3: Cross multiply
    50,395,941,861x = 107,980,176,284 × 107,980,176,284
  4. Step 4: Simplify right side
    50,395,941,861x = 11,659,718,470,323,715,178,496
  5. Step 5: Solve for x
    x = 11,659,718,470,323,715,178,496/50,395,941,861
  6. Step 6: Final answer
    x = 231,362,249,414.51

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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.