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Finding the Third Proportional to 166,683,122 and 358,967,380

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Solution

The third proportional to 166,683,122 and 358,967,380 is: 773,069,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,683,122 : 358,967,380 = 358,967,380 : x
  2. Step 2: Convert to fraction form
    166,683,122/358,967,380 = 358,967,380/x
  3. Step 3: Cross multiply
    166,683,122x = 358,967,380 × 358,967,380
  4. Step 4: Simplify right side
    166,683,122x = 128,857,579,904,064,400
  5. Step 5: Solve for x
    x = 128,857,579,904,064,400/166,683,122
  6. Step 6: Final answer
    x = 773,069,152.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.