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Finding the Third Proportional to 144,141,089 and 310,956,958

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Solution

The third proportional to 144,141,089 and 310,956,958 is: 670,830,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,141,089 : 310,956,958 = 310,956,958 : x
  2. Step 2: Convert to fraction form
    144,141,089/310,956,958 = 310,956,958/x
  3. Step 3: Cross multiply
    144,141,089x = 310,956,958 × 310,956,958
  4. Step 4: Simplify right side
    144,141,089x = 96,694,229,728,613,760
  5. Step 5: Solve for x
    x = 96,694,229,728,613,760/144,141,089
  6. Step 6: Final answer
    x = 670,830,437.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.