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Finding the Third Proportional to 104,841,514.27 and 164,107,034.86

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Solution

The third proportional to 104,841,514.27 and 164,107,034.86 is: 256,874,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,841,514.27 : 164,107,034.86 = 164,107,034.86 : x
  2. Step 2: Convert to fraction form
    104,841,514.27/164,107,034.86 = 164,107,034.86/x
  3. Step 3: Cross multiply
    104,841,514.27x = 164,107,034.86 × 164,107,034.86
  4. Step 4: Simplify right side
    104,841,514.27x = 26,931,118,890,337,764
  5. Step 5: Solve for x
    x = 26,931,118,890,337,764/104,841,514.27
  6. Step 6: Final answer
    x = 256,874,569.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.