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Finding the Third Proportional to 239,130,608,083.50 and 527,003,651,160

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Solution

The third proportional to 239,130,608,083.50 and 527,003,651,160 is: 1,161,427,433,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,130,608,083.50 : 527,003,651,160 = 527,003,651,160 : x
  2. Step 2: Convert to fraction form
    239,130,608,083.50/527,003,651,160 = 527,003,651,160/x
  3. Step 3: Cross multiply
    239,130,608,083.50x = 527,003,651,160 × 527,003,651,160
  4. Step 4: Simplify right side
    239,130,608,083.50x = 277,732,848,335,970,954,641,408
  5. Step 5: Solve for x
    x = 277,732,848,335,970,954,641,408/239,130,608,083.50
  6. Step 6: Final answer
    x = 1,161,427,433,158.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.