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Finding the Third Proportional to 96,138,119,858 and 141,327,300,994

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Solution

The third proportional to 96,138,119,858 and 141,327,300,994 is: 207,757,401,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138,119,858 : 141,327,300,994 = 141,327,300,994 : x
  2. Step 2: Convert to fraction form
    96,138,119,858/141,327,300,994 = 141,327,300,994/x
  3. Step 3: Cross multiply
    96,138,119,858x = 141,327,300,994 × 141,327,300,994
  4. Step 4: Simplify right side
    96,138,119,858x = 19,973,406,006,248,673,902,592
  5. Step 5: Solve for x
    x = 19,973,406,006,248,673,902,592/96,138,119,858
  6. Step 6: Final answer
    x = 207,757,401,910.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.