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Finding the Third Proportional to 119,795,269.50 and 184,020,188.25

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Solution

The third proportional to 119,795,269.50 and 184,020,188.25 is: 282,677,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,795,269.50 : 184,020,188.25 = 184,020,188.25 : x
  2. Step 2: Convert to fraction form
    119,795,269.50/184,020,188.25 = 184,020,188.25/x
  3. Step 3: Cross multiply
    119,795,269.50x = 184,020,188.25 × 184,020,188.25
  4. Step 4: Simplify right side
    119,795,269.50x = 33,863,429,683,565,440
  5. Step 5: Solve for x
    x = 33,863,429,683,565,440/119,795,269.50
  6. Step 6: Final answer
    x = 282,677,519.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.