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Finding the Third Proportional to 142,114,180 and 309,929,984

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Solution

The third proportional to 142,114,180 and 309,929,984 is: 675,911,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,114,180 : 309,929,984 = 309,929,984 : x
  2. Step 2: Convert to fraction form
    142,114,180/309,929,984 = 309,929,984/x
  3. Step 3: Cross multiply
    142,114,180x = 309,929,984 × 309,929,984
  4. Step 4: Simplify right side
    142,114,180x = 96,056,594,982,240,256
  5. Step 5: Solve for x
    x = 96,056,594,982,240,256/142,114,180
  6. Step 6: Final answer
    x = 675,911,404.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.