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Finding the Third Proportional to 269,687,118 and 403,792,566

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Solution

The third proportional to 269,687,118 and 403,792,566 is: 604,583,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,687,118 : 403,792,566 = 403,792,566 : x
  2. Step 2: Convert to fraction form
    269,687,118/403,792,566 = 403,792,566/x
  3. Step 3: Cross multiply
    269,687,118x = 403,792,566 × 403,792,566
  4. Step 4: Simplify right side
    269,687,118x = 163,048,436,356,864,352
  5. Step 5: Solve for x
    x = 163,048,436,356,864,352/269,687,118
  6. Step 6: Final answer
    x = 604,583,702.65

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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.