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Finding the Third Proportional to 100,160,534.81 and 217,452,432.94

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Solution

The third proportional to 100,160,534.81 and 217,452,432.94 is: 472,097,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,160,534.81 : 217,452,432.94 = 217,452,432.94 : x
  2. Step 2: Convert to fraction form
    100,160,534.81/217,452,432.94 = 217,452,432.94/x
  3. Step 3: Cross multiply
    100,160,534.81x = 217,452,432.94 × 217,452,432.94
  4. Step 4: Simplify right side
    100,160,534.81x = 47,285,560,590,437,936
  5. Step 5: Solve for x
    x = 47,285,560,590,437,936/100,160,534.81
  6. Step 6: Final answer
    x = 472,097,724.71

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