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Finding the Third Proportional to 136,565,149.50 and 204,852,091.50

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Solution

The third proportional to 136,565,149.50 and 204,852,091.50 is: 307,284,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,565,149.50 : 204,852,091.50 = 204,852,091.50 : x
  2. Step 2: Convert to fraction form
    136,565,149.50/204,852,091.50 = 204,852,091.50/x
  3. Step 3: Cross multiply
    136,565,149.50x = 204,852,091.50 × 204,852,091.50
  4. Step 4: Simplify right side
    136,565,149.50x = 41,964,379,391,924,376
  5. Step 5: Solve for x
    x = 41,964,379,391,924,376/136,565,149.50
  6. Step 6: Final answer
    x = 307,284,688.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.