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Finding the Third Proportional to 180,113,256 and 424,757,100

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Solution

The third proportional to 180,113,256 and 424,757,100 is: 1,001,695,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,113,256 : 424,757,100 = 424,757,100 : x
  2. Step 2: Convert to fraction form
    180,113,256/424,757,100 = 424,757,100/x
  3. Step 3: Cross multiply
    180,113,256x = 424,757,100 × 424,757,100
  4. Step 4: Simplify right side
    180,113,256x = 180,418,594,000,409,984
  5. Step 5: Solve for x
    x = 180,418,594,000,409,984/180,113,256
  6. Step 6: Final answer
    x = 1,001,695,255.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.