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Finding the Third Proportional to 230,340,818 and 353,209,971

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Solution

The third proportional to 230,340,818 and 353,209,971 is: 541,620,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,340,818 : 353,209,971 = 353,209,971 : x
  2. Step 2: Convert to fraction form
    230,340,818/353,209,971 = 353,209,971/x
  3. Step 3: Cross multiply
    230,340,818x = 353,209,971 × 353,209,971
  4. Step 4: Simplify right side
    230,340,818x = 124,757,283,613,820,848
  5. Step 5: Solve for x
    x = 124,757,283,613,820,848/230,340,818
  6. Step 6: Final answer
    x = 541,620,389.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.