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Finding the Third Proportional to 163,286,306,605 and 227,036,557,529

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Solution

The third proportional to 163,286,306,605 and 227,036,557,529 is: 315,676,185,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,286,306,605 : 227,036,557,529 = 227,036,557,529 : x
  2. Step 2: Convert to fraction form
    163,286,306,605/227,036,557,529 = 227,036,557,529/x
  3. Step 3: Cross multiply
    163,286,306,605x = 227,036,557,529 × 227,036,557,529
  4. Step 4: Simplify right side
    163,286,306,605x = 51,545,598,454,618,925,301,760
  5. Step 5: Solve for x
    x = 51,545,598,454,618,925,301,760/163,286,306,605
  6. Step 6: Final answer
    x = 315,676,185,752.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.