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Finding the Third Proportional to 147,195,264 and 321,126,586.50

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Solution

The third proportional to 147,195,264 and 321,126,586.50 is: 700,581,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,195,264 : 321,126,586.50 = 321,126,586.50 : x
  2. Step 2: Convert to fraction form
    147,195,264/321,126,586.50 = 321,126,586.50/x
  3. Step 3: Cross multiply
    147,195,264x = 321,126,586.50 × 321,126,586.50
  4. Step 4: Simplify right side
    147,195,264x = 103,122,284,557,141,984
  5. Step 5: Solve for x
    x = 103,122,284,557,141,984/147,195,264
  6. Step 6: Final answer
    x = 700,581,538.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.