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Finding the Third Proportional to 209,999,550 and 328,677,285

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Solution

The third proportional to 209,999,550 and 328,677,285 is: 514,423,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,999,550 : 328,677,285 = 328,677,285 : x
  2. Step 2: Convert to fraction form
    209,999,550/328,677,285 = 328,677,285/x
  3. Step 3: Cross multiply
    209,999,550x = 328,677,285 × 328,677,285
  4. Step 4: Simplify right side
    209,999,550x = 108,028,757,674,971,232
  5. Step 5: Solve for x
    x = 108,028,757,674,971,232/209,999,550
  6. Step 6: Final answer
    x = 514,423,757.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.