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Finding the Third Proportional to 190,997,577 and 409,223,196

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Solution

The third proportional to 190,997,577 and 409,223,196 is: 876,784,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,997,577 : 409,223,196 = 409,223,196 : x
  2. Step 2: Convert to fraction form
    190,997,577/409,223,196 = 409,223,196/x
  3. Step 3: Cross multiply
    190,997,577x = 409,223,196 × 409,223,196
  4. Step 4: Simplify right side
    190,997,577x = 167,463,624,144,454,400
  5. Step 5: Solve for x
    x = 167,463,624,144,454,400/190,997,577
  6. Step 6: Final answer
    x = 876,784,024.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.