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Finding the Third Proportional to 76,577,571 and 163,919,313

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Solution

The third proportional to 76,577,571 and 163,919,313 is: 350,880,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577,571 : 163,919,313 = 163,919,313 : x
  2. Step 2: Convert to fraction form
    76,577,571/163,919,313 = 163,919,313/x
  3. Step 3: Cross multiply
    76,577,571x = 163,919,313 × 163,919,313
  4. Step 4: Simplify right side
    76,577,571x = 26,869,541,174,391,968
  5. Step 5: Solve for x
    x = 26,869,541,174,391,968/76,577,571
  6. Step 6: Final answer
    x = 350,880,039.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.