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Finding the Third Proportional to 100,985,800.78 and 153,514,867.78

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Solution

The third proportional to 100,985,800.78 and 153,514,867.78 is: 233,367,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,985,800.78 : 153,514,867.78 = 153,514,867.78 : x
  2. Step 2: Convert to fraction form
    100,985,800.78/153,514,867.78 = 153,514,867.78/x
  3. Step 3: Cross multiply
    100,985,800.78x = 153,514,867.78 × 153,514,867.78
  4. Step 4: Simplify right side
    100,985,800.78x = 23,566,814,629,894,668
  5. Step 5: Solve for x
    x = 23,566,814,629,894,668/100,985,800.78
  6. Step 6: Final answer
    x = 233,367,606.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.