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Finding the Third Proportional to 169,438,526 and 369,950,164

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Solution

The third proportional to 169,438,526 and 369,950,164 is: 807,745,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,438,526 : 369,950,164 = 369,950,164 : x
  2. Step 2: Convert to fraction form
    169,438,526/369,950,164 = 369,950,164/x
  3. Step 3: Cross multiply
    169,438,526x = 369,950,164 × 369,950,164
  4. Step 4: Simplify right side
    169,438,526x = 136,863,123,843,626,896
  5. Step 5: Solve for x
    x = 136,863,123,843,626,896/169,438,526
  6. Step 6: Final answer
    x = 807,745,009.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.