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Finding the Third Proportional to 208,467,025 and 458,045,762

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Solution

The third proportional to 208,467,025 and 458,045,762 is: 1,006,422,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,467,025 : 458,045,762 = 458,045,762 : x
  2. Step 2: Convert to fraction form
    208,467,025/458,045,762 = 458,045,762/x
  3. Step 3: Cross multiply
    208,467,025x = 458,045,762 × 458,045,762
  4. Step 4: Simplify right side
    208,467,025x = 209,805,920,086,160,640
  5. Step 5: Solve for x
    x = 209,805,920,086,160,640/208,467,025
  6. Step 6: Final answer
    x = 1,006,422,574.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.