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Finding the Third Proportional to 147,370,653,964 and 226,379,353,656

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Solution

The third proportional to 147,370,653,964 and 226,379,353,656 is: 347,746,382,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,370,653,964 : 226,379,353,656 = 226,379,353,656 : x
  2. Step 2: Convert to fraction form
    147,370,653,964/226,379,353,656 = 226,379,353,656/x
  3. Step 3: Cross multiply
    147,370,653,964x = 226,379,353,656 × 226,379,353,656
  4. Step 4: Simplify right side
    147,370,653,964x = 51,247,611,761,708,320,686,080
  5. Step 5: Solve for x
    x = 51,247,611,761,708,320,686,080/147,370,653,964
  6. Step 6: Final answer
    x = 347,746,382,222.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.