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Finding the Third Proportional to 190,997,571 and 409,223,184

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Solution

The third proportional to 190,997,571 and 409,223,184 is: 876,784,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,997,571 : 409,223,184 = 409,223,184 : x
  2. Step 2: Convert to fraction form
    190,997,571/409,223,184 = 409,223,184/x
  3. Step 3: Cross multiply
    190,997,571x = 409,223,184 × 409,223,184
  4. Step 4: Simplify right side
    190,997,571x = 167,463,614,323,097,856
  5. Step 5: Solve for x
    x = 167,463,614,323,097,856/190,997,571
  6. Step 6: Final answer
    x = 876,784,000.16

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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.