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Finding the Third Proportional to 187,844,308 and 409,036,532

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Solution

The third proportional to 187,844,308 and 409,036,532 is: 890,689,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,844,308 : 409,036,532 = 409,036,532 : x
  2. Step 2: Convert to fraction form
    187,844,308/409,036,532 = 409,036,532/x
  3. Step 3: Cross multiply
    187,844,308x = 409,036,532 × 409,036,532
  4. Step 4: Simplify right side
    187,844,308x = 167,310,884,510,587,008
  5. Step 5: Solve for x
    x = 167,310,884,510,587,008/187,844,308
  6. Step 6: Final answer
    x = 890,689,136.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.