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Finding the Third Proportional to 102,604,300,631 and 220,650,195,687

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Solution

The third proportional to 102,604,300,631 and 220,650,195,687 is: 474,507,487,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604,300,631 : 220,650,195,687 = 220,650,195,687 : x
  2. Step 2: Convert to fraction form
    102,604,300,631/220,650,195,687 = 220,650,195,687/x
  3. Step 3: Cross multiply
    102,604,300,631x = 220,650,195,687 × 220,650,195,687
  4. Step 4: Simplify right side
    102,604,300,631x = 48,686,508,856,711,390,953,472
  5. Step 5: Solve for x
    x = 48,686,508,856,711,390,953,472/102,604,300,631
  6. Step 6: Final answer
    x = 474,507,487,086.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.