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Finding the Third Proportional to 144,376,278 and 311,763,630

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Solution

The third proportional to 144,376,278 and 311,763,630 is: 673,216,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,376,278 : 311,763,630 = 311,763,630 : x
  2. Step 2: Convert to fraction form
    144,376,278/311,763,630 = 311,763,630/x
  3. Step 3: Cross multiply
    144,376,278x = 311,763,630 × 311,763,630
  4. Step 4: Simplify right side
    144,376,278x = 97,196,560,990,776,896
  5. Step 5: Solve for x
    x = 97,196,560,990,776,896/144,376,278
  6. Step 6: Final answer
    x = 673,216,973.99

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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.