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Finding the Third Proportional to 118,798,203 and 189,033,160.50

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Solution

The third proportional to 118,798,203 and 189,033,160.50 is: 300,791,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,798,203 : 189,033,160.50 = 189,033,160.50 : x
  2. Step 2: Convert to fraction form
    118,798,203/189,033,160.50 = 189,033,160.50/x
  3. Step 3: Cross multiply
    118,798,203x = 189,033,160.50 × 189,033,160.50
  4. Step 4: Simplify right side
    118,798,203x = 35,733,535,768,618,760
  5. Step 5: Solve for x
    x = 35,733,535,768,618,760/118,798,203
  6. Step 6: Final answer
    x = 300,791,887.98

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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.