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Finding the Third Proportional to 83,531,857.50 and 179,402,769

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Solution

The third proportional to 83,531,857.50 and 179,402,769 is: 385,306,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531,857.50 : 179,402,769 = 179,402,769 : x
  2. Step 2: Convert to fraction form
    83,531,857.50/179,402,769 = 179,402,769/x
  3. Step 3: Cross multiply
    83,531,857.50x = 179,402,769 × 179,402,769
  4. Step 4: Simplify right side
    83,531,857.50x = 32,185,353,524,867,360
  5. Step 5: Solve for x
    x = 32,185,353,524,867,360/83,531,857.50
  6. Step 6: Final answer
    x = 385,306,330.88

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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.