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Finding the Third Proportional to 239,130,595,175 and 527,003,621,523

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Solution

The third proportional to 239,130,595,175 and 527,003,621,523 is: 1,161,427,365,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,130,595,175 : 527,003,621,523 = 527,003,621,523 : x
  2. Step 2: Convert to fraction form
    239,130,595,175/527,003,621,523 = 527,003,621,523/x
  3. Step 3: Cross multiply
    239,130,595,175x = 527,003,621,523 × 527,003,621,523
  4. Step 4: Simplify right side
    239,130,595,175x = 277,732,817,098,357,426,094,080
  5. Step 5: Solve for x
    x = 277,732,817,098,357,426,094,080/239,130,595,175
  6. Step 6: Final answer
    x = 1,161,427,365,223.21

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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.