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Finding the Third Proportional to 303,227,069.34 and 453,628,457.23

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Solution

The third proportional to 303,227,069.34 and 453,628,457.23 is: 678,629,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,227,069.34 : 453,628,457.23 = 453,628,457.23 : x
  2. Step 2: Convert to fraction form
    303,227,069.34/453,628,457.23 = 453,628,457.23/x
  3. Step 3: Cross multiply
    303,227,069.34x = 453,628,457.23 × 453,628,457.23
  4. Step 4: Simplify right side
    303,227,069.34x = 205,778,777,205,730,848
  5. Step 5: Solve for x
    x = 205,778,777,205,730,848/303,227,069.34
  6. Step 6: Final answer
    x = 678,629,311.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.