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Finding the Third Proportional to 239,130,608,331 and 527,003,651,659.50

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Solution

The third proportional to 239,130,608,331 and 527,003,651,659.50 is: 1,161,427,434,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,130,608,331 : 527,003,651,659.50 = 527,003,651,659.50 : x
  2. Step 2: Convert to fraction form
    239,130,608,331/527,003,651,659.50 = 527,003,651,659.50/x
  3. Step 3: Cross multiply
    239,130,608,331x = 527,003,651,659.50 × 527,003,651,659.50
  4. Step 4: Simplify right side
    239,130,608,331x = 277,732,848,862,447,609,577,472
  5. Step 5: Solve for x
    x = 277,732,848,862,447,609,577,472/239,130,608,331
  6. Step 6: Final answer
    x = 1,161,427,434,157.72

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Why These Related Problems?

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