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Finding the Third Proportional to 239,130,595,160 and 527,003,621,494

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Solution

The third proportional to 239,130,595,160 and 527,003,621,494 is: 1,161,427,365,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,130,595,160 : 527,003,621,494 = 527,003,621,494 : x
  2. Step 2: Convert to fraction form
    239,130,595,160/527,003,621,494 = 527,003,621,494/x
  3. Step 3: Cross multiply
    239,130,595,160x = 527,003,621,494 × 527,003,621,494
  4. Step 4: Simplify right side
    239,130,595,160x = 277,732,817,067,791,217,590,272
  5. Step 5: Solve for x
    x = 277,732,817,067,791,217,590,272/239,130,595,160
  6. Step 6: Final answer
    x = 1,161,427,365,168.24

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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.