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Finding the Third Proportional to 99,320,544 and 213,820,360

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Solution

The third proportional to 99,320,544 and 213,820,360 is: 460,319,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320,544 : 213,820,360 = 213,820,360 : x
  2. Step 2: Convert to fraction form
    99,320,544/213,820,360 = 213,820,360/x
  3. Step 3: Cross multiply
    99,320,544x = 213,820,360 × 213,820,360
  4. Step 4: Simplify right side
    99,320,544x = 45,719,146,350,529,600
  5. Step 5: Solve for x
    x = 45,719,146,350,529,600/99,320,544
  6. Step 6: Final answer
    x = 460,319,129.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.