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Finding the Third Proportional to 99,885,142,447 and 144,316,781,874

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Solution

The third proportional to 99,885,142,447 and 144,316,781,874 is: 208,512,828,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,885,142,447 : 144,316,781,874 = 144,316,781,874 : x
  2. Step 2: Convert to fraction form
    99,885,142,447/144,316,781,874 = 144,316,781,874/x
  3. Step 3: Cross multiply
    99,885,142,447x = 144,316,781,874 × 144,316,781,874
  4. Step 4: Simplify right side
    99,885,142,447x = 20,827,333,530,467,694,542,848
  5. Step 5: Solve for x
    x = 20,827,333,530,467,694,542,848/99,885,142,447
  6. Step 6: Final answer
    x = 208,512,828,036.65

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.