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Finding the Third Proportional to 76,697,628 and 103,657,193

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Solution

The third proportional to 76,697,628 and 103,657,193 is: 140,093,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,697,628 : 103,657,193 = 103,657,193 : x
  2. Step 2: Convert to fraction form
    76,697,628/103,657,193 = 103,657,193/x
  3. Step 3: Cross multiply
    76,697,628x = 103,657,193 × 103,657,193
  4. Step 4: Simplify right side
    76,697,628x = 10,744,813,660,639,248
  5. Step 5: Solve for x
    x = 10,744,813,660,639,248/76,697,628
  6. Step 6: Final answer
    x = 140,093,167.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.