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Finding the Third Proportional to 144,367,260 and 311,745,726

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Solution

The third proportional to 144,367,260 and 311,745,726 is: 673,181,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,367,260 : 311,745,726 = 311,745,726 : x
  2. Step 2: Convert to fraction form
    144,367,260/311,745,726 = 311,745,726/x
  3. Step 3: Cross multiply
    144,367,260x = 311,745,726 × 311,745,726
  4. Step 4: Simplify right side
    144,367,260x = 97,185,397,679,267,072
  5. Step 5: Solve for x
    x = 97,185,397,679,267,072/144,367,260
  6. Step 6: Final answer
    x = 673,181,701.16

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.