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Finding the Third Proportional to 123,498,401.63 and 164,642,166.84

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Solution

The third proportional to 123,498,401.63 and 164,642,166.84 is: 219,493,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,498,401.63 : 164,642,166.84 = 164,642,166.84 : x
  2. Step 2: Convert to fraction form
    123,498,401.63/164,642,166.84 = 164,642,166.84/x
  3. Step 3: Cross multiply
    123,498,401.63x = 164,642,166.84 × 164,642,166.84
  4. Step 4: Simplify right side
    123,498,401.63x = 27,107,043,103,005,212
  5. Step 5: Solve for x
    x = 27,107,043,103,005,212/123,498,401.63
  6. Step 6: Final answer
    x = 219,493,068.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.