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Finding the Third Proportional to 94,251,142 and 146,454,924

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Solution

The third proportional to 94,251,142 and 146,454,924 is: 227,573,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,251,142 : 146,454,924 = 146,454,924 : x
  2. Step 2: Convert to fraction form
    94,251,142/146,454,924 = 146,454,924/x
  3. Step 3: Cross multiply
    94,251,142x = 146,454,924 × 146,454,924
  4. Step 4: Simplify right side
    94,251,142x = 21,449,044,763,845,776
  5. Step 5: Solve for x
    x = 21,449,044,763,845,776/94,251,142
  6. Step 6: Final answer
    x = 227,573,314.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.