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Finding the Third Proportional to 209,048,496 and 325,000,548

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Solution

The third proportional to 209,048,496 and 325,000,548 is: 505,267,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,048,496 : 325,000,548 = 325,000,548 : x
  2. Step 2: Convert to fraction form
    209,048,496/325,000,548 = 325,000,548/x
  3. Step 3: Cross multiply
    209,048,496x = 325,000,548 × 325,000,548
  4. Step 4: Simplify right side
    209,048,496x = 105,625,356,200,300,304
  5. Step 5: Solve for x
    x = 105,625,356,200,300,304/209,048,496
  6. Step 6: Final answer
    x = 505,267,238.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.