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Finding the Third Proportional to 77,173,432 and 160,697,910

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Solution

The third proportional to 77,173,432 and 160,697,910 is: 334,620,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,173,432 : 160,697,910 = 160,697,910 : x
  2. Step 2: Convert to fraction form
    77,173,432/160,697,910 = 160,697,910/x
  3. Step 3: Cross multiply
    77,173,432x = 160,697,910 × 160,697,910
  4. Step 4: Simplify right side
    77,173,432x = 25,823,818,278,368,100
  5. Step 5: Solve for x
    x = 25,823,818,278,368,100/77,173,432
  6. Step 6: Final answer
    x = 334,620,576.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.