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Finding the Third Proportional to 146,222,303.63 and 227,142,685.69

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Solution

The third proportional to 146,222,303.63 and 227,142,685.69 is: 352,844,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,222,303.63 : 227,142,685.69 = 227,142,685.69 : x
  2. Step 2: Convert to fraction form
    146,222,303.63/227,142,685.69 = 227,142,685.69/x
  3. Step 3: Cross multiply
    146,222,303.63x = 227,142,685.69 × 227,142,685.69
  4. Step 4: Simplify right side
    146,222,303.63x = 51,593,799,661,330,416
  5. Step 5: Solve for x
    x = 51,593,799,661,330,416/146,222,303.63
  6. Step 6: Final answer
    x = 352,844,938.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.