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Finding the Third Proportional to 268,530,166 and 414,657,567

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Solution

The third proportional to 268,530,166 and 414,657,567 is: 640,303,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,530,166 : 414,657,567 = 414,657,567 : x
  2. Step 2: Convert to fraction form
    268,530,166/414,657,567 = 414,657,567/x
  3. Step 3: Cross multiply
    268,530,166x = 414,657,567 × 414,657,567
  4. Step 4: Simplify right side
    268,530,166x = 171,940,897,870,359,488
  5. Step 5: Solve for x
    x = 171,940,897,870,359,488/268,530,166
  6. Step 6: Final answer
    x = 640,303,845.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.