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Finding the Third Proportional to 205,446,091.50 and 455,189,139

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Solution

The third proportional to 205,446,091.50 and 455,189,139 is: 1,008,523,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,446,091.50 : 455,189,139 = 455,189,139 : x
  2. Step 2: Convert to fraction form
    205,446,091.50/455,189,139 = 455,189,139/x
  3. Step 3: Cross multiply
    205,446,091.50x = 455,189,139 × 455,189,139
  4. Step 4: Simplify right side
    205,446,091.50x = 207,197,152,263,561,312
  5. Step 5: Solve for x
    x = 207,197,152,263,561,312/205,446,091.50
  6. Step 6: Final answer
    x = 1,008,523,212.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.