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Finding the Third Proportional to 137,959,346 and 191,819,451

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Solution

The third proportional to 137,959,346 and 191,819,451 is: 266,706,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,959,346 : 191,819,451 = 191,819,451 : x
  2. Step 2: Convert to fraction form
    137,959,346/191,819,451 = 191,819,451/x
  3. Step 3: Cross multiply
    137,959,346x = 191,819,451 × 191,819,451
  4. Step 4: Simplify right side
    137,959,346x = 36,794,701,781,941,400
  5. Step 5: Solve for x
    x = 36,794,701,781,941,400/137,959,346
  6. Step 6: Final answer
    x = 266,706,844.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.