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Finding the Third Proportional to 154,014,843,458 and 329,225,266,408

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Solution

The third proportional to 154,014,843,458 and 329,225,266,408 is: 703,758,635,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,014,843,458 : 329,225,266,408 = 329,225,266,408 : x
  2. Step 2: Convert to fraction form
    154,014,843,458/329,225,266,408 = 329,225,266,408/x
  3. Step 3: Cross multiply
    154,014,843,458x = 329,225,266,408 × 329,225,266,408
  4. Step 4: Simplify right side
    154,014,843,458x = 108,389,276,041,418,576,494,592
  5. Step 5: Solve for x
    x = 108,389,276,041,418,576,494,592/154,014,843,458
  6. Step 6: Final answer
    x = 703,758,635,257.62

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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.