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Finding the Third Proportional to 258,522,360.75 and 553,359,840.75

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Solution

The third proportional to 258,522,360.75 and 553,359,840.75 is: 1,184,451,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,522,360.75 : 553,359,840.75 = 553,359,840.75 : x
  2. Step 2: Convert to fraction form
    258,522,360.75/553,359,840.75 = 553,359,840.75/x
  3. Step 3: Cross multiply
    258,522,360.75x = 553,359,840.75 × 553,359,840.75
  4. Step 4: Simplify right side
    258,522,360.75x = 306,207,113,354,865,344
  5. Step 5: Solve for x
    x = 306,207,113,354,865,344/258,522,360.75
  6. Step 6: Final answer
    x = 1,184,451,172.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.