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Finding the Third Proportional to 154,014,843,385 and 329,225,266,268

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Solution

The third proportional to 154,014,843,385 and 329,225,266,268 is: 703,758,634,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,014,843,385 : 329,225,266,268 = 329,225,266,268 : x
  2. Step 2: Convert to fraction form
    154,014,843,385/329,225,266,268 = 329,225,266,268/x
  3. Step 3: Cross multiply
    154,014,843,385x = 329,225,266,268 × 329,225,266,268
  4. Step 4: Simplify right side
    154,014,843,385x = 108,389,275,949,235,492,093,952
  5. Step 5: Solve for x
    x = 108,389,275,949,235,492,093,952/154,014,843,385
  6. Step 6: Final answer
    x = 703,758,634,992.66

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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.