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Finding the Third Proportional to 173,478,854.25 and 378,601,971.75

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Solution

The third proportional to 173,478,854.25 and 378,601,971.75 is: 826,264,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,478,854.25 : 378,601,971.75 = 378,601,971.75 : x
  2. Step 2: Convert to fraction form
    173,478,854.25/378,601,971.75 = 378,601,971.75/x
  3. Step 3: Cross multiply
    173,478,854.25x = 378,601,971.75 × 378,601,971.75
  4. Step 4: Simplify right side
    173,478,854.25x = 143,339,453,012,987,792
  5. Step 5: Solve for x
    x = 143,339,453,012,987,792/173,478,854.25
  6. Step 6: Final answer
    x = 826,264,697.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.