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Finding the Third Proportional to 144,141,088 and 310,956,956

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Solution

The third proportional to 144,141,088 and 310,956,956 is: 670,830,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,141,088 : 310,956,956 = 310,956,956 : x
  2. Step 2: Convert to fraction form
    144,141,088/310,956,956 = 310,956,956/x
  3. Step 3: Cross multiply
    144,141,088x = 310,956,956 × 310,956,956
  4. Step 4: Simplify right side
    144,141,088x = 96,694,228,484,785,936
  5. Step 5: Solve for x
    x = 96,694,228,484,785,936/144,141,088
  6. Step 6: Final answer
    x = 670,830,433.06

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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.