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Finding the Third Proportional to 268,510,577 and 401,112,205

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Solution

The third proportional to 268,510,577 and 401,112,205 is: 599,198,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,510,577 : 401,112,205 = 401,112,205 : x
  2. Step 2: Convert to fraction form
    268,510,577/401,112,205 = 401,112,205/x
  3. Step 3: Cross multiply
    268,510,577x = 401,112,205 × 401,112,205
  4. Step 4: Simplify right side
    268,510,577x = 160,891,000,999,962,016
  5. Step 5: Solve for x
    x = 160,891,000,999,962,016/268,510,577
  6. Step 6: Final answer
    x = 599,198,001.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.