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Finding the Third Proportional to 136,177,321.50 and 282,044,308.50

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Solution

The third proportional to 136,177,321.50 and 282,044,308.50 is: 584,157,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,177,321.50 : 282,044,308.50 = 282,044,308.50 : x
  2. Step 2: Convert to fraction form
    136,177,321.50/282,044,308.50 = 282,044,308.50/x
  3. Step 3: Cross multiply
    136,177,321.50x = 282,044,308.50 × 282,044,308.50
  4. Step 4: Simplify right side
    136,177,321.50x = 79,548,991,957,243,168
  5. Step 5: Solve for x
    x = 79,548,991,957,243,168/136,177,321.50
  6. Step 6: Final answer
    x = 584,157,413.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.