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Finding the Third Proportional to 137,186,965,435 and 297,170,159,026

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Solution

The third proportional to 137,186,965,435 and 297,170,159,026 is: 643,720,802,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,186,965,435 : 297,170,159,026 = 297,170,159,026 : x
  2. Step 2: Convert to fraction form
    137,186,965,435/297,170,159,026 = 297,170,159,026/x
  3. Step 3: Cross multiply
    137,186,965,435x = 297,170,159,026 × 297,170,159,026
  4. Step 4: Simplify right side
    137,186,965,435x = 88,310,103,415,538,136,907,776
  5. Step 5: Solve for x
    x = 88,310,103,415,538,136,907,776/137,186,965,435
  6. Step 6: Final answer
    x = 643,720,802,012.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.