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Finding the Third Proportional to 133,596,774 and 294,369,180

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Solution

The third proportional to 133,596,774 and 294,369,180 is: 648,617,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,596,774 : 294,369,180 = 294,369,180 : x
  2. Step 2: Convert to fraction form
    133,596,774/294,369,180 = 294,369,180/x
  3. Step 3: Cross multiply
    133,596,774x = 294,369,180 × 294,369,180
  4. Step 4: Simplify right side
    133,596,774x = 86,653,214,133,872,400
  5. Step 5: Solve for x
    x = 86,653,214,133,872,400/133,596,774
  6. Step 6: Final answer
    x = 648,617,564.18

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Why These Related Problems?

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