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Finding the Third Proportional to 124,280,380 and 186,420,502.50

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Solution

The third proportional to 124,280,380 and 186,420,502.50 is: 279,630,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,280,380 : 186,420,502.50 = 186,420,502.50 : x
  2. Step 2: Convert to fraction form
    124,280,380/186,420,502.50 = 186,420,502.50/x
  3. Step 3: Cross multiply
    124,280,380x = 186,420,502.50 × 186,420,502.50
  4. Step 4: Simplify right side
    124,280,380x = 34,752,603,752,352,508
  5. Step 5: Solve for x
    x = 34,752,603,752,352,508/124,280,380
  6. Step 6: Final answer
    x = 279,630,652.50

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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.