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Finding the Third Proportional to 117,150,896 and 243,998,289

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Solution

The third proportional to 117,150,896 and 243,998,289 is: 508,192,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,150,896 : 243,998,289 = 243,998,289 : x
  2. Step 2: Convert to fraction form
    117,150,896/243,998,289 = 243,998,289/x
  3. Step 3: Cross multiply
    117,150,896x = 243,998,289 × 243,998,289
  4. Step 4: Simplify right side
    117,150,896x = 59,535,165,034,927,520
  5. Step 5: Solve for x
    x = 59,535,165,034,927,520/117,150,896
  6. Step 6: Final answer
    x = 508,192,144.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.