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Finding the Third Proportional to 152,104,716 and 328,449,816

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Solution

The third proportional to 152,104,716 and 328,449,816 is: 709,243,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,104,716 : 328,449,816 = 328,449,816 : x
  2. Step 2: Convert to fraction form
    152,104,716/328,449,816 = 328,449,816/x
  3. Step 3: Cross multiply
    152,104,716x = 328,449,816 × 328,449,816
  4. Step 4: Simplify right side
    152,104,716x = 107,879,281,630,433,856
  5. Step 5: Solve for x
    x = 107,879,281,630,433,856/152,104,716
  6. Step 6: Final answer
    x = 709,243,503.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.