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Finding the Third Proportional to 209,048,502 and 325,000,557

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Solution

The third proportional to 209,048,502 and 325,000,557 is: 505,267,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,048,502 : 325,000,557 = 325,000,557 : x
  2. Step 2: Convert to fraction form
    209,048,502/325,000,557 = 325,000,557/x
  3. Step 3: Cross multiply
    209,048,502x = 325,000,557 × 325,000,557
  4. Step 4: Simplify right side
    209,048,502x = 105,625,362,050,310,256
  5. Step 5: Solve for x
    x = 105,625,362,050,310,256/209,048,502
  6. Step 6: Final answer
    x = 505,267,251.57

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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.