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Finding the Third Proportional to 82,025,313 and 193,628,592

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Solution

The third proportional to 82,025,313 and 193,628,592 is: 457,078,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,025,313 : 193,628,592 = 193,628,592 : x
  2. Step 2: Convert to fraction form
    82,025,313/193,628,592 = 193,628,592/x
  3. Step 3: Cross multiply
    82,025,313x = 193,628,592 × 193,628,592
  4. Step 4: Simplify right side
    82,025,313x = 37,492,031,639,902,464
  5. Step 5: Solve for x
    x = 37,492,031,639,902,464/82,025,313
  6. Step 6: Final answer
    x = 457,078,800.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.