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Finding the Third Proportional to 166,683,120 and 358,967,376

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Solution

The third proportional to 166,683,120 and 358,967,376 is: 773,069,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,683,120 : 358,967,376 = 358,967,376 : x
  2. Step 2: Convert to fraction form
    166,683,120/358,967,376 = 358,967,376/x
  3. Step 3: Cross multiply
    166,683,120x = 358,967,376 × 358,967,376
  4. Step 4: Simplify right side
    166,683,120x = 128,857,577,032,325,376
  5. Step 5: Solve for x
    x = 128,857,577,032,325,376/166,683,120
  6. Step 6: Final answer
    x = 773,069,144.81

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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.