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Finding the Third Proportional to 122,513,367 and 189,793,291.50

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Solution

The third proportional to 122,513,367 and 189,793,291.50 is: 294,020,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,513,367 : 189,793,291.50 = 189,793,291.50 : x
  2. Step 2: Convert to fraction form
    122,513,367/189,793,291.50 = 189,793,291.50/x
  3. Step 3: Cross multiply
    122,513,367x = 189,793,291.50 × 189,793,291.50
  4. Step 4: Simplify right side
    122,513,367x = 36,021,493,498,403,972
  5. Step 5: Solve for x
    x = 36,021,493,498,403,972/122,513,367
  6. Step 6: Final answer
    x = 294,020,925.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.