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Finding the Third Proportional to 73,597,731,146 and 160,090,546,366

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Solution

The third proportional to 73,597,731,146 and 160,090,546,366 is: 348,230,613,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,597,731,146 : 160,090,546,366 = 160,090,546,366 : x
  2. Step 2: Convert to fraction form
    73,597,731,146/160,090,546,366 = 160,090,546,366/x
  3. Step 3: Cross multiply
    73,597,731,146x = 160,090,546,366 × 160,090,546,366
  4. Step 4: Simplify right side
    73,597,731,146x = 25,628,983,035,764,395,737,088
  5. Step 5: Solve for x
    x = 25,628,983,035,764,395,737,088/73,597,731,146
  6. Step 6: Final answer
    x = 348,230,613,045.98

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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.