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Finding the Third Proportional to 83,447,535 and 169,253,332.50

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Solution

The third proportional to 83,447,535 and 169,253,332.50 is: 343,289,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447,535 : 169,253,332.50 = 169,253,332.50 : x
  2. Step 2: Convert to fraction form
    83,447,535/169,253,332.50 = 169,253,332.50/x
  3. Step 3: Cross multiply
    83,447,535x = 169,253,332.50 × 169,253,332.50
  4. Step 4: Simplify right side
    83,447,535x = 28,646,690,562,355,556
  5. Step 5: Solve for x
    x = 28,646,690,562,355,556/83,447,535
  6. Step 6: Final answer
    x = 343,289,835.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.