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Finding the Third Proportional to 325,177,690.50 and 463,552,800.75

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Solution

The third proportional to 325,177,690.50 and 463,552,800.75 is: 660,811,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,177,690.50 : 463,552,800.75 = 463,552,800.75 : x
  2. Step 2: Convert to fraction form
    325,177,690.50/463,552,800.75 = 463,552,800.75/x
  3. Step 3: Cross multiply
    325,177,690.50x = 463,552,800.75 × 463,552,800.75
  4. Step 4: Simplify right side
    325,177,690.50x = 214,881,199,083,169,216
  5. Step 5: Solve for x
    x = 214,881,199,083,169,216/325,177,690.50
  6. Step 6: Final answer
    x = 660,811,628.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.