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Finding the Third Proportional to 198,920,182.50 and 418,453,776

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Solution

The third proportional to 198,920,182.50 and 418,453,776 is: 880,270,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,920,182.50 : 418,453,776 = 418,453,776 : x
  2. Step 2: Convert to fraction form
    198,920,182.50/418,453,776 = 418,453,776/x
  3. Step 3: Cross multiply
    198,920,182.50x = 418,453,776 × 418,453,776
  4. Step 4: Simplify right side
    198,920,182.50x = 175,103,562,648,658,176
  5. Step 5: Solve for x
    x = 175,103,562,648,658,176/198,920,182.50
  6. Step 6: Final answer
    x = 880,270,470.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.