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Finding the Third Proportional to 80,754,594 and 175,138,570.50

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Solution

The third proportional to 80,754,594 and 175,138,570.50 is: 379,836,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,754,594 : 175,138,570.50 = 175,138,570.50 : x
  2. Step 2: Convert to fraction form
    80,754,594/175,138,570.50 = 175,138,570.50/x
  3. Step 3: Cross multiply
    80,754,594x = 175,138,570.50 × 175,138,570.50
  4. Step 4: Simplify right side
    80,754,594x = 30,673,518,876,783,472
  5. Step 5: Solve for x
    x = 30,673,518,876,783,472/80,754,594
  6. Step 6: Final answer
    x = 379,836,209.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.