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Finding the Third Proportional to 133,596,760.50 and 294,369,156

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Solution

The third proportional to 133,596,760.50 and 294,369,156 is: 648,617,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,596,760.50 : 294,369,156 = 294,369,156 : x
  2. Step 2: Convert to fraction form
    133,596,760.50/294,369,156 = 294,369,156/x
  3. Step 3: Cross multiply
    133,596,760.50x = 294,369,156 × 294,369,156
  4. Step 4: Simplify right side
    133,596,760.50x = 86,653,200,004,152,336
  5. Step 5: Solve for x
    x = 86,653,200,004,152,336/133,596,760.50
  6. Step 6: Final answer
    x = 648,617,523.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.