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Finding the Third Proportional to 174,718,443 and 278,146,101.75

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Solution

The third proportional to 174,718,443 and 278,146,101.75 is: 442,799,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,718,443 : 278,146,101.75 = 278,146,101.75 : x
  2. Step 2: Convert to fraction form
    174,718,443/278,146,101.75 = 278,146,101.75/x
  3. Step 3: Cross multiply
    174,718,443x = 278,146,101.75 × 278,146,101.75
  4. Step 4: Simplify right side
    174,718,443x = 77,365,253,918,721,360
  5. Step 5: Solve for x
    x = 77,365,253,918,721,360/174,718,443
  6. Step 6: Final answer
    x = 442,799,584.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.