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Finding the Third Proportional to 208,563,032 and 315,528,890

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Solution

The third proportional to 208,563,032 and 315,528,890 is: 477,354,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563,032 : 315,528,890 = 315,528,890 : x
  2. Step 2: Convert to fraction form
    208,563,032/315,528,890 = 315,528,890/x
  3. Step 3: Cross multiply
    208,563,032x = 315,528,890 × 315,528,890
  4. Step 4: Simplify right side
    208,563,032x = 99,558,480,424,632,096
  5. Step 5: Solve for x
    x = 99,558,480,424,632,096/208,563,032
  6. Step 6: Final answer
    x = 477,354,397.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.