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Finding the Third Proportional to 112,146,283,150 and 241,301,620,988

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Solution

The third proportional to 112,146,283,150 and 241,301,620,988 is: 519,201,088,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,146,283,150 : 241,301,620,988 = 241,301,620,988 : x
  2. Step 2: Convert to fraction form
    112,146,283,150/241,301,620,988 = 241,301,620,988/x
  3. Step 3: Cross multiply
    112,146,283,150x = 241,301,620,988 × 241,301,620,988
  4. Step 4: Simplify right side
    112,146,283,150x = 58,226,472,291,436,398,116,864
  5. Step 5: Solve for x
    x = 58,226,472,291,436,398,116,864/112,146,283,150
  6. Step 6: Final answer
    x = 519,201,088,577.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.