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Finding the Third Proportional to 184,560,708 and 400,807,831.50

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Solution

The third proportional to 184,560,708 and 400,807,831.50 is: 870,428,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560,708 : 400,807,831.50 = 400,807,831.50 : x
  2. Step 2: Convert to fraction form
    184,560,708/400,807,831.50 = 400,807,831.50/x
  3. Step 3: Cross multiply
    184,560,708x = 400,807,831.50 × 400,807,831.50
  4. Step 4: Simplify right side
    184,560,708x = 160,646,917,791,732,384
  5. Step 5: Solve for x
    x = 160,646,917,791,732,384/184,560,708
  6. Step 6: Final answer
    x = 870,428,595.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.