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Finding the Third Proportional to 221,056,003,989 and 339,569,063,865

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Solution

The third proportional to 221,056,003,989 and 339,569,063,865 is: 521,619,621,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,056,003,989 : 339,569,063,865 = 339,569,063,865 : x
  2. Step 2: Convert to fraction form
    221,056,003,989/339,569,063,865 = 339,569,063,865/x
  3. Step 3: Cross multiply
    221,056,003,989x = 339,569,063,865 × 339,569,063,865
  4. Step 4: Simplify right side
    221,056,003,989x = 115,307,149,134,152,442,314,752
  5. Step 5: Solve for x
    x = 115,307,149,134,152,442,314,752/221,056,003,989
  6. Step 6: Final answer
    x = 521,619,621,514.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.