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Finding the Third Proportional to 142,081,258,418 and 315,929,642,596

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Solution

The third proportional to 142,081,258,418 and 315,929,642,596 is: 702,496,164,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,081,258,418 : 315,929,642,596 = 315,929,642,596 : x
  2. Step 2: Convert to fraction form
    142,081,258,418/315,929,642,596 = 315,929,642,596/x
  3. Step 3: Cross multiply
    142,081,258,418x = 315,929,642,596 × 315,929,642,596
  4. Step 4: Simplify right side
    142,081,258,418x = 99,811,539,070,836,298,219,520
  5. Step 5: Solve for x
    x = 99,811,539,070,836,298,219,520/142,081,258,418
  6. Step 6: Final answer
    x = 702,496,164,393.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.