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Finding the Third Proportional to 402,060,208.50 and 870,883,101

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Solution

The third proportional to 402,060,208.50 and 870,883,101 is: 1,886,377,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,060,208.50 : 870,883,101 = 870,883,101 : x
  2. Step 2: Convert to fraction form
    402,060,208.50/870,883,101 = 870,883,101/x
  3. Step 3: Cross multiply
    402,060,208.50x = 870,883,101 × 870,883,101
  4. Step 4: Simplify right side
    402,060,208.50x = 758,437,375,607,376,256
  5. Step 5: Solve for x
    x = 758,437,375,607,376,256/402,060,208.50
  6. Step 6: Final answer
    x = 1,886,377,611.05

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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.