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Finding the Third Proportional to 150,889,535,788 and 306,212,883,840

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Solution

The third proportional to 150,889,535,788 and 306,212,883,840 is: 621,423,677,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,889,535,788 : 306,212,883,840 = 306,212,883,840 : x
  2. Step 2: Convert to fraction form
    150,889,535,788/306,212,883,840 = 306,212,883,840/x
  3. Step 3: Cross multiply
    150,889,535,788x = 306,212,883,840 × 306,212,883,840
  4. Step 4: Simplify right side
    150,889,535,788x = 93,766,330,229,609,333,784,576
  5. Step 5: Solve for x
    x = 93,766,330,229,609,333,784,576/150,889,535,788
  6. Step 6: Final answer
    x = 621,423,677,526.26

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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.