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Finding the Third Proportional to 144,029,478 and 205,814,781

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Solution

The third proportional to 144,029,478 and 205,814,781 is: 294,104,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,029,478 : 205,814,781 = 205,814,781 : x
  2. Step 2: Convert to fraction form
    144,029,478/205,814,781 = 205,814,781/x
  3. Step 3: Cross multiply
    144,029,478x = 205,814,781 × 205,814,781
  4. Step 4: Simplify right side
    144,029,478x = 42,359,724,078,077,960
  5. Step 5: Solve for x
    x = 42,359,724,078,077,960/144,029,478
  6. Step 6: Final answer
    x = 294,104,544.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.