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Finding the Third Proportional to 208,020,339 and 450,707,382

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Solution

The third proportional to 208,020,339 and 450,707,382 is: 976,525,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,020,339 : 450,707,382 = 450,707,382 : x
  2. Step 2: Convert to fraction form
    208,020,339/450,707,382 = 450,707,382/x
  3. Step 3: Cross multiply
    208,020,339x = 450,707,382 × 450,707,382
  4. Step 4: Simplify right side
    208,020,339x = 203,137,144,189,293,920
  5. Step 5: Solve for x
    x = 203,137,144,189,293,920/208,020,339
  6. Step 6: Final answer
    x = 976,525,397.30

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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.