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Finding the Third Proportional to 209,048,498 and 325,000,551

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Solution

The third proportional to 209,048,498 and 325,000,551 is: 505,267,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,048,498 : 325,000,551 = 325,000,551 : x
  2. Step 2: Convert to fraction form
    209,048,498/325,000,551 = 325,000,551/x
  3. Step 3: Cross multiply
    209,048,498x = 325,000,551 × 325,000,551
  4. Step 4: Simplify right side
    209,048,498x = 105,625,358,150,303,600
  5. Step 5: Solve for x
    x = 105,625,358,150,303,600/209,048,498
  6. Step 6: Final answer
    x = 505,267,242.58

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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.