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Finding the Third Proportional to 181,840,160.50 and 398,885,513

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Solution

The third proportional to 181,840,160.50 and 398,885,513 is: 874,997,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,840,160.50 : 398,885,513 = 398,885,513 : x
  2. Step 2: Convert to fraction form
    181,840,160.50/398,885,513 = 398,885,513/x
  3. Step 3: Cross multiply
    181,840,160.50x = 398,885,513 × 398,885,513
  4. Step 4: Simplify right side
    181,840,160.50x = 159,109,652,481,273,184
  5. Step 5: Solve for x
    x = 159,109,652,481,273,184/181,840,160.50
  6. Step 6: Final answer
    x = 874,997,316.57

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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.