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Finding the Third Proportional to 120,833,292 and 260,920,258

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Solution

The third proportional to 120,833,292 and 260,920,258 is: 563,415,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,833,292 : 260,920,258 = 260,920,258 : x
  2. Step 2: Convert to fraction form
    120,833,292/260,920,258 = 260,920,258/x
  3. Step 3: Cross multiply
    120,833,292x = 260,920,258 × 260,920,258
  4. Step 4: Simplify right side
    120,833,292x = 68,079,381,034,786,560
  5. Step 5: Solve for x
    x = 68,079,381,034,786,560/120,833,292
  6. Step 6: Final answer
    x = 563,415,759.91

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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.