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Finding the Third Proportional to 225,683,806 and 311,843,764.50

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Solution

The third proportional to 225,683,806 and 311,843,764.50 is: 430,897,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,683,806 : 311,843,764.50 = 311,843,764.50 : x
  2. Step 2: Convert to fraction form
    225,683,806/311,843,764.50 = 311,843,764.50/x
  3. Step 3: Cross multiply
    225,683,806x = 311,843,764.50 × 311,843,764.50
  4. Step 4: Simplify right side
    225,683,806x = 97,246,533,457,531,456
  5. Step 5: Solve for x
    x = 97,246,533,457,531,456/225,683,806
  6. Step 6: Final answer
    x = 430,897,259.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.