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Finding the Third Proportional to 268,332,156 and 579,747,847.50

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Solution

The third proportional to 268,332,156 and 579,747,847.50 is: 1,252,580,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,332,156 : 579,747,847.50 = 579,747,847.50 : x
  2. Step 2: Convert to fraction form
    268,332,156/579,747,847.50 = 579,747,847.50/x
  3. Step 3: Cross multiply
    268,332,156x = 579,747,847.50 × 579,747,847.50
  4. Step 4: Simplify right side
    268,332,156x = 336,107,566,680,883,264
  5. Step 5: Solve for x
    x = 336,107,566,680,883,264/268,332,156
  6. Step 6: Final answer
    x = 1,252,580,278.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.