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Finding the Third Proportional to 265,431,916.13 and 412,122,804.75

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Solution

The third proportional to 265,431,916.13 and 412,122,804.75 is: 639,882,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,431,916.13 : 412,122,804.75 = 412,122,804.75 : x
  2. Step 2: Convert to fraction form
    265,431,916.13/412,122,804.75 = 412,122,804.75/x
  3. Step 3: Cross multiply
    265,431,916.13x = 412,122,804.75 × 412,122,804.75
  4. Step 4: Simplify right side
    265,431,916.13x = 169,845,206,195,006,624
  5. Step 5: Solve for x
    x = 169,845,206,195,006,624/265,431,916.13
  6. Step 6: Final answer
    x = 639,882,379.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.