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Finding the Third Proportional to 164,789,952.50 and 224,415,788

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Solution

The third proportional to 164,789,952.50 and 224,415,788 is: 305,615,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,789,952.50 : 224,415,788 = 224,415,788 : x
  2. Step 2: Convert to fraction form
    164,789,952.50/224,415,788 = 224,415,788/x
  3. Step 3: Cross multiply
    164,789,952.50x = 224,415,788 × 224,415,788
  4. Step 4: Simplify right side
    164,789,952.50x = 50,362,445,903,660,944
  5. Step 5: Solve for x
    x = 50,362,445,903,660,944/164,789,952.50
  6. Step 6: Final answer
    x = 305,615,998.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.