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Finding the Third Proportional to 197,254,561.50 and 314,147,659.50

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Solution

The third proportional to 197,254,561.50 and 314,147,659.50 is: 500,311,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,254,561.50 : 314,147,659.50 = 314,147,659.50 : x
  2. Step 2: Convert to fraction form
    197,254,561.50/314,147,659.50 = 314,147,659.50/x
  3. Step 3: Cross multiply
    197,254,561.50x = 314,147,659.50 × 314,147,659.50
  4. Step 4: Simplify right side
    197,254,561.50x = 98,688,751,969,327,936
  5. Step 5: Solve for x
    x = 98,688,751,969,327,936/197,254,561.50
  6. Step 6: Final answer
    x = 500,311,633.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.