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Finding the Third Proportional to 208,303,600 and 453,638,464

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Solution

The third proportional to 208,303,600 and 453,638,464 is: 987,922,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,303,600 : 453,638,464 = 453,638,464 : x
  2. Step 2: Convert to fraction form
    208,303,600/453,638,464 = 453,638,464/x
  3. Step 3: Cross multiply
    208,303,600x = 453,638,464 × 453,638,464
  4. Step 4: Simplify right side
    208,303,600x = 205,787,856,020,279,296
  5. Step 5: Solve for x
    x = 205,787,856,020,279,296/208,303,600
  6. Step 6: Final answer
    x = 987,922,705.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.