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Finding the Third Proportional to 195,005,117,470 and 395,493,334,784

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Solution

The third proportional to 195,005,117,470 and 395,493,334,784 is: 802,107,041,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,117,470 : 395,493,334,784 = 395,493,334,784 : x
  2. Step 2: Convert to fraction form
    195,005,117,470/395,493,334,784 = 395,493,334,784/x
  3. Step 3: Cross multiply
    195,005,117,470x = 395,493,334,784 × 395,493,334,784
  4. Step 4: Simplify right side
    195,005,117,470x = 156,414,977,858,569,116,844,032
  5. Step 5: Solve for x
    x = 156,414,977,858,569,116,844,032/195,005,117,470
  6. Step 6: Final answer
    x = 802,107,041,537.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.