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Finding the Third Proportional to 124,280,383 and 186,420,507

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Solution

The third proportional to 124,280,383 and 186,420,507 is: 279,630,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,280,383 : 186,420,507 = 186,420,507 : x
  2. Step 2: Convert to fraction form
    124,280,383/186,420,507 = 186,420,507/x
  3. Step 3: Cross multiply
    124,280,383x = 186,420,507 × 186,420,507
  4. Step 4: Simplify right side
    124,280,383x = 34,752,605,430,137,048
  5. Step 5: Solve for x
    x = 34,752,605,430,137,048/124,280,383
  6. Step 6: Final answer
    x = 279,630,659.25

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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.