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Finding the Third Proportional to 169,275,934.50 and 238,377,817.50

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Solution

The third proportional to 169,275,934.50 and 238,377,817.50 is: 335,688,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,275,934.50 : 238,377,817.50 = 238,377,817.50 : x
  2. Step 2: Convert to fraction form
    169,275,934.50/238,377,817.50 = 238,377,817.50/x
  3. Step 3: Cross multiply
    169,275,934.50x = 238,377,817.50 × 238,377,817.50
  4. Step 4: Simplify right side
    169,275,934.50x = 56,823,983,876,063,304
  5. Step 5: Solve for x
    x = 56,823,983,876,063,304/169,275,934.50
  6. Step 6: Final answer
    x = 335,688,496.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.