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Finding the Third Proportional to 153,407,614 and 329,583,356

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Solution

The third proportional to 153,407,614 and 329,583,356 is: 708,082,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,407,614 : 329,583,356 = 329,583,356 : x
  2. Step 2: Convert to fraction form
    153,407,614/329,583,356 = 329,583,356/x
  3. Step 3: Cross multiply
    153,407,614x = 329,583,356 × 329,583,356
  4. Step 4: Simplify right side
    153,407,614x = 108,625,188,552,222,736
  5. Step 5: Solve for x
    x = 108,625,188,552,222,736/153,407,614
  6. Step 6: Final answer
    x = 708,082,120.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.