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Finding the Third Proportional to 191,283,774 and 409,161,468

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Solution

The third proportional to 191,283,774 and 409,161,468 is: 875,208,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,283,774 : 409,161,468 = 409,161,468 : x
  2. Step 2: Convert to fraction form
    191,283,774/409,161,468 = 409,161,468/x
  3. Step 3: Cross multiply
    191,283,774x = 409,161,468 × 409,161,468
  4. Step 4: Simplify right side
    191,283,774x = 167,413,106,895,915,008
  5. Step 5: Solve for x
    x = 167,413,106,895,915,008/191,283,774
  6. Step 6: Final answer
    x = 875,208,092.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.