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Finding the Third Proportional to 96,138,119,854 and 141,327,300,988

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Solution

The third proportional to 96,138,119,854 and 141,327,300,988 is: 207,757,401,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138,119,854 : 141,327,300,988 = 141,327,300,988 : x
  2. Step 2: Convert to fraction form
    96,138,119,854/141,327,300,988 = 141,327,300,988/x
  3. Step 3: Cross multiply
    96,138,119,854x = 141,327,300,988 × 141,327,300,988
  4. Step 4: Simplify right side
    96,138,119,854x = 19,973,406,004,552,744,828,928
  5. Step 5: Solve for x
    x = 19,973,406,004,552,744,828,928/96,138,119,854
  6. Step 6: Final answer
    x = 207,757,401,901.40

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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.