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Finding the Third Proportional to 190,774,247 and 413,241,510

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Solution

The third proportional to 190,774,247 and 413,241,510 is: 895,134,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,774,247 : 413,241,510 = 413,241,510 : x
  2. Step 2: Convert to fraction form
    190,774,247/413,241,510 = 413,241,510/x
  3. Step 3: Cross multiply
    190,774,247x = 413,241,510 × 413,241,510
  4. Step 4: Simplify right side
    190,774,247x = 170,768,545,587,080,096
  5. Step 5: Solve for x
    x = 170,768,545,587,080,096/190,774,247
  6. Step 6: Final answer
    x = 895,134,161.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.