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Finding the Third Proportional to 190,632,962.74 and 294,576,538.32

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Solution

The third proportional to 190,632,962.74 and 294,576,538.32 is: 455,195,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,632,962.74 : 294,576,538.32 = 294,576,538.32 : x
  2. Step 2: Convert to fraction form
    190,632,962.74/294,576,538.32 = 294,576,538.32/x
  3. Step 3: Cross multiply
    190,632,962.74x = 294,576,538.32 × 294,576,538.32
  4. Step 4: Simplify right side
    190,632,962.74x = 86,775,336,931,086,560
  5. Step 5: Solve for x
    x = 86,775,336,931,086,560/190,632,962.74
  6. Step 6: Final answer
    x = 455,195,867.93

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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.