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Finding the Third Proportional to 154,055,816,364 and 335,461,092,756

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Solution

The third proportional to 154,055,816,364 and 335,461,092,756 is: 730,476,442,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,055,816,364 : 335,461,092,756 = 335,461,092,756 : x
  2. Step 2: Convert to fraction form
    154,055,816,364/335,461,092,756 = 335,461,092,756/x
  3. Step 3: Cross multiply
    154,055,816,364x = 335,461,092,756 × 335,461,092,756
  4. Step 4: Simplify right side
    154,055,816,364x = 112,534,144,753,049,630,932,992
  5. Step 5: Solve for x
    x = 112,534,144,753,049,630,932,992/154,055,816,364
  6. Step 6: Final answer
    x = 730,476,442,948.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.