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Finding the Third Proportional to 161,717,994 and 264,042,945

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Solution

The third proportional to 161,717,994 and 264,042,945 is: 431,112,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,717,994 : 264,042,945 = 264,042,945 : x
  2. Step 2: Convert to fraction form
    161,717,994/264,042,945 = 264,042,945/x
  3. Step 3: Cross multiply
    161,717,994x = 264,042,945 × 264,042,945
  4. Step 4: Simplify right side
    161,717,994x = 69,718,676,804,273,024
  5. Step 5: Solve for x
    x = 69,718,676,804,273,024/161,717,994
  6. Step 6: Final answer
    x = 431,112,673.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.