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Finding the Third Proportional to 145,347,245.44 and 318,943,711.69

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Solution

The third proportional to 145,347,245.44 and 318,943,711.69 is: 699,876,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,347,245.44 : 318,943,711.69 = 318,943,711.69 : x
  2. Step 2: Convert to fraction form
    145,347,245.44/318,943,711.69 = 318,943,711.69/x
  3. Step 3: Cross multiply
    145,347,245.44x = 318,943,711.69 × 318,943,711.69
  4. Step 4: Simplify right side
    145,347,245.44x = 101,725,091,224,999,120
  5. Step 5: Solve for x
    x = 101,725,091,224,999,120/145,347,245.44
  6. Step 6: Final answer
    x = 699,876,292.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.