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Finding the Third Proportional to 108,743,624 and 164,694,831

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Solution

The third proportional to 108,743,624 and 164,694,831 is: 249,434,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,743,624 : 164,694,831 = 164,694,831 : x
  2. Step 2: Convert to fraction form
    108,743,624/164,694,831 = 164,694,831/x
  3. Step 3: Cross multiply
    108,743,624x = 164,694,831 × 164,694,831
  4. Step 4: Simplify right side
    108,743,624x = 27,124,387,358,118,560
  5. Step 5: Solve for x
    x = 27,124,387,358,118,560/108,743,624
  6. Step 6: Final answer
    x = 249,434,278.17

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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.