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Finding the Third Proportional to 190,873,165 and 291,856,527

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Solution

The third proportional to 190,873,165 and 291,856,527 is: 446,266,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,873,165 : 291,856,527 = 291,856,527 : x
  2. Step 2: Convert to fraction form
    190,873,165/291,856,527 = 291,856,527/x
  3. Step 3: Cross multiply
    190,873,165x = 291,856,527 × 291,856,527
  4. Step 4: Simplify right side
    190,873,165x = 85,180,232,352,501,728
  5. Step 5: Solve for x
    x = 85,180,232,352,501,728/190,873,165
  6. Step 6: Final answer
    x = 446,266,149.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.