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Finding the Third Proportional to 151,187,820,812.50 and 323,940,519,696.50

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Solution

The third proportional to 151,187,820,812.50 and 323,940,519,696.50 is: 694,086,730,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,187,820,812.50 : 323,940,519,696.50 = 323,940,519,696.50 : x
  2. Step 2: Convert to fraction form
    151,187,820,812.50/323,940,519,696.50 = 323,940,519,696.50/x
  3. Step 3: Cross multiply
    151,187,820,812.50x = 323,940,519,696.50 × 323,940,519,696.50
  4. Step 4: Simplify right side
    151,187,820,812.50x = 104,937,460,301,238,508,716,032
  5. Step 5: Solve for x
    x = 104,937,460,301,238,508,716,032/151,187,820,812.50
  6. Step 6: Final answer
    x = 694,086,730,910.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.