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Finding the Third Proportional to 120,902,484 and 262,331,874.75

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Solution

The third proportional to 120,902,484 and 262,331,874.75 is: 569,202,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,902,484 : 262,331,874.75 = 262,331,874.75 : x
  2. Step 2: Convert to fraction form
    120,902,484/262,331,874.75 = 262,331,874.75/x
  3. Step 3: Cross multiply
    120,902,484x = 262,331,874.75 × 262,331,874.75
  4. Step 4: Simplify right side
    120,902,484x = 68,818,012,509,849,688
  5. Step 5: Solve for x
    x = 68,818,012,509,849,688/120,902,484
  6. Step 6: Final answer
    x = 569,202,635.32

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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.