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Finding the Third Proportional to 129,514,978 and 264,232,567

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Solution

The third proportional to 129,514,978 and 264,232,567 is: 539,079,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,514,978 : 264,232,567 = 264,232,567 : x
  2. Step 2: Convert to fraction form
    129,514,978/264,232,567 = 264,232,567/x
  3. Step 3: Cross multiply
    129,514,978x = 264,232,567 × 264,232,567
  4. Step 4: Simplify right side
    129,514,978x = 69,818,849,463,409,488
  5. Step 5: Solve for x
    x = 69,818,849,463,409,488/129,514,978
  6. Step 6: Final answer
    x = 539,079,344.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.