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Finding the Third Proportional to 212,412,167 and 328,051,510

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Solution

The third proportional to 212,412,167 and 328,051,510 is: 506,646,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412,167 : 328,051,510 = 328,051,510 : x
  2. Step 2: Convert to fraction form
    212,412,167/328,051,510 = 328,051,510/x
  3. Step 3: Cross multiply
    212,412,167x = 328,051,510 × 328,051,510
  4. Step 4: Simplify right side
    212,412,167x = 107,617,793,213,280,096
  5. Step 5: Solve for x
    x = 107,617,793,213,280,096/212,412,167
  6. Step 6: Final answer
    x = 506,646,086.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.