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Finding the Third Proportional to 125,294,688 and 269,783,500.50

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Solution

The third proportional to 125,294,688 and 269,783,500.50 is: 580,895,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,294,688 : 269,783,500.50 = 269,783,500.50 : x
  2. Step 2: Convert to fraction form
    125,294,688/269,783,500.50 = 269,783,500.50/x
  3. Step 3: Cross multiply
    125,294,688x = 269,783,500.50 × 269,783,500.50
  4. Step 4: Simplify right side
    125,294,688x = 72,783,137,142,033,504
  5. Step 5: Solve for x
    x = 72,783,137,142,033,504/125,294,688
  6. Step 6: Final answer
    x = 580,895,633.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.