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Finding the Third Proportional to 190,997,580 and 409,223,202

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Solution

The third proportional to 190,997,580 and 409,223,202 is: 876,784,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,997,580 : 409,223,202 = 409,223,202 : x
  2. Step 2: Convert to fraction form
    190,997,580/409,223,202 = 409,223,202/x
  3. Step 3: Cross multiply
    190,997,580x = 409,223,202 × 409,223,202
  4. Step 4: Simplify right side
    190,997,580x = 167,463,629,055,132,800
  5. Step 5: Solve for x
    x = 167,463,629,055,132,800/190,997,580
  6. Step 6: Final answer
    x = 876,784,035.98

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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.