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Finding the Third Proportional to 144,141,092 and 310,956,964

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Solution

The third proportional to 144,141,092 and 310,956,964 is: 670,830,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,141,092 : 310,956,964 = 310,956,964 : x
  2. Step 2: Convert to fraction form
    144,141,092/310,956,964 = 310,956,964/x
  3. Step 3: Cross multiply
    144,141,092x = 310,956,964 × 310,956,964
  4. Step 4: Simplify right side
    144,141,092x = 96,694,233,460,097,296
  5. Step 5: Solve for x
    x = 96,694,233,460,097,296/144,141,092
  6. Step 6: Final answer
    x = 670,830,448.96

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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.