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Finding the Third Proportional to 76,724,732.25 and 164,393,212.50

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Solution

The third proportional to 76,724,732.25 and 164,393,212.50 is: 352,234,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,732.25 : 164,393,212.50 = 164,393,212.50 : x
  2. Step 2: Convert to fraction form
    76,724,732.25/164,393,212.50 = 164,393,212.50/x
  3. Step 3: Cross multiply
    76,724,732.25x = 164,393,212.50 × 164,393,212.50
  4. Step 4: Simplify right side
    76,724,732.25x = 27,025,128,316,070,156
  5. Step 5: Solve for x
    x = 27,025,128,316,070,156/76,724,732.25
  6. Step 6: Final answer
    x = 352,234,899.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.