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Finding the Third Proportional to 264,159,080 and 400,227,704

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Solution

The third proportional to 264,159,080 and 400,227,704 is: 606,385,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,159,080 : 400,227,704 = 400,227,704 : x
  2. Step 2: Convert to fraction form
    264,159,080/400,227,704 = 400,227,704/x
  3. Step 3: Cross multiply
    264,159,080x = 400,227,704 × 400,227,704
  4. Step 4: Simplify right side
    264,159,080x = 160,182,215,049,111,616
  5. Step 5: Solve for x
    x = 160,182,215,049,111,616/264,159,080
  6. Step 6: Final answer
    x = 606,385,421.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.