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Finding the Third Proportional to 134,514,036 and 289,658,394

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Solution

The third proportional to 134,514,036 and 289,658,394 is: 623,741,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,514,036 : 289,658,394 = 289,658,394 : x
  2. Step 2: Convert to fraction form
    134,514,036/289,658,394 = 289,658,394/x
  3. Step 3: Cross multiply
    134,514,036x = 289,658,394 × 289,658,394
  4. Step 4: Simplify right side
    134,514,036x = 83,901,985,214,659,232
  5. Step 5: Solve for x
    x = 83,901,985,214,659,232/134,514,036
  6. Step 6: Final answer
    x = 623,741,489.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.