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Finding the Third Proportional to 190,997,579 and 409,223,200

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Solution

The third proportional to 190,997,579 and 409,223,200 is: 876,784,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,997,579 : 409,223,200 = 409,223,200 : x
  2. Step 2: Convert to fraction form
    190,997,579/409,223,200 = 409,223,200/x
  3. Step 3: Cross multiply
    190,997,579x = 409,223,200 × 409,223,200
  4. Step 4: Simplify right side
    190,997,579x = 167,463,627,418,240,000
  5. Step 5: Solve for x
    x = 167,463,627,418,240,000/190,997,579
  6. Step 6: Final answer
    x = 876,784,032.00

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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.