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Finding the Third Proportional to 154,108,089 and 232,468,503

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Solution

The third proportional to 154,108,089 and 232,468,503 is: 350,673,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,108,089 : 232,468,503 = 232,468,503 : x
  2. Step 2: Convert to fraction form
    154,108,089/232,468,503 = 232,468,503/x
  3. Step 3: Cross multiply
    154,108,089x = 232,468,503 × 232,468,503
  4. Step 4: Simplify right side
    154,108,089x = 54,041,604,887,061,008
  5. Step 5: Solve for x
    x = 54,041,604,887,061,008/154,108,089
  6. Step 6: Final answer
    x = 350,673,382.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.