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Finding the Third Proportional to 80,748,549 and 177,130,199.25

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Solution

The third proportional to 80,748,549 and 177,130,199.25 is: 388,553,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,549 : 177,130,199.25 = 177,130,199.25 : x
  2. Step 2: Convert to fraction form
    80,748,549/177,130,199.25 = 177,130,199.25/x
  3. Step 3: Cross multiply
    80,748,549x = 177,130,199.25 × 177,130,199.25
  4. Step 4: Simplify right side
    80,748,549x = 31,375,107,486,344,700
  5. Step 5: Solve for x
    x = 31,375,107,486,344,700/80,748,549
  6. Step 6: Final answer
    x = 388,553,204.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.