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Finding the Third Proportional to 83,970,327.75 and 174,644,323.50

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Solution

The third proportional to 83,970,327.75 and 174,644,323.50 is: 363,231,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,970,327.75 : 174,644,323.50 = 174,644,323.50 : x
  2. Step 2: Convert to fraction form
    83,970,327.75/174,644,323.50 = 174,644,323.50/x
  3. Step 3: Cross multiply
    83,970,327.75x = 174,644,323.50 × 174,644,323.50
  4. Step 4: Simplify right side
    83,970,327.75x = 30,500,639,730,772,652
  5. Step 5: Solve for x
    x = 30,500,639,730,772,652/83,970,327.75
  6. Step 6: Final answer
    x = 363,231,162.10

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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.