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Finding the Third Proportional to 121,455,564.75 and 262,264,068

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Solution

The third proportional to 121,455,564.75 and 262,264,068 is: 566,317,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,455,564.75 : 262,264,068 = 262,264,068 : x
  2. Step 2: Convert to fraction form
    121,455,564.75/262,264,068 = 262,264,068/x
  3. Step 3: Cross multiply
    121,455,564.75x = 262,264,068 × 262,264,068
  4. Step 4: Simplify right side
    121,455,564.75x = 68,782,441,363,908,624
  5. Step 5: Solve for x
    x = 68,782,441,363,908,624/121,455,564.75
  6. Step 6: Final answer
    x = 566,317,743.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.