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Finding the Third Proportional to 82,263,734 and 127,788,392

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Solution

The third proportional to 82,263,734 and 127,788,392 is: 198,506,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,263,734 : 127,788,392 = 127,788,392 : x
  2. Step 2: Convert to fraction form
    82,263,734/127,788,392 = 127,788,392/x
  3. Step 3: Cross multiply
    82,263,734x = 127,788,392 × 127,788,392
  4. Step 4: Simplify right side
    82,263,734x = 16,329,873,129,945,664
  5. Step 5: Solve for x
    x = 16,329,873,129,945,664/82,263,734
  6. Step 6: Final answer
    x = 198,506,344.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.