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Finding the Third Proportional to 208,424,565 and 306,574,480.50

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Solution

The third proportional to 208,424,565 and 306,574,480.50 is: 450,944,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424,565 : 306,574,480.50 = 306,574,480.50 : x
  2. Step 2: Convert to fraction form
    208,424,565/306,574,480.50 = 306,574,480.50/x
  3. Step 3: Cross multiply
    208,424,565x = 306,574,480.50 × 306,574,480.50
  4. Step 4: Simplify right side
    208,424,565x = 93,987,912,093,844,880
  5. Step 5: Solve for x
    x = 93,987,912,093,844,880/208,424,565
  6. Step 6: Final answer
    x = 450,944,504.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.