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Finding the Third Proportional to 308,296,845 and 719,384,164.50

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Solution

The third proportional to 308,296,845 and 719,384,164.50 is: 1,678,621,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,296,845 : 719,384,164.50 = 719,384,164.50 : x
  2. Step 2: Convert to fraction form
    308,296,845/719,384,164.50 = 719,384,164.50/x
  3. Step 3: Cross multiply
    308,296,845x = 719,384,164.50 × 719,384,164.50
  4. Step 4: Simplify right side
    308,296,845x = 517,513,576,133,363,072
  5. Step 5: Solve for x
    x = 517,513,576,133,363,072/308,296,845
  6. Step 6: Final answer
    x = 1,678,621,058.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.