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Finding the Third Proportional to 72,112,084.88 and 146,772,655.88

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Solution

The third proportional to 72,112,084.88 and 146,772,655.88 is: 298,732,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,112,084.88 : 146,772,655.88 = 146,772,655.88 : x
  2. Step 2: Convert to fraction form
    72,112,084.88/146,772,655.88 = 146,772,655.88/x
  3. Step 3: Cross multiply
    72,112,084.88x = 146,772,655.88 × 146,772,655.88
  4. Step 4: Simplify right side
    72,112,084.88x = 21,542,212,512,601,172
  5. Step 5: Solve for x
    x = 21,542,212,512,601,172/72,112,084.88
  6. Step 6: Final answer
    x = 298,732,349.09

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.