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Finding the Third Proportional to 138,407,203 and 194,660,470.50

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Solution

The third proportional to 138,407,203 and 194,660,470.50 is: 273,776,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407,203 : 194,660,470.50 = 194,660,470.50 : x
  2. Step 2: Convert to fraction form
    138,407,203/194,660,470.50 = 194,660,470.50/x
  3. Step 3: Cross multiply
    138,407,203x = 194,660,470.50 × 194,660,470.50
  4. Step 4: Simplify right side
    138,407,203x = 37,892,698,775,281,368
  5. Step 5: Solve for x
    x = 37,892,698,775,281,368/138,407,203
  6. Step 6: Final answer
    x = 273,776,927.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.