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Finding the Third Proportional to 133,596,664 and 294,368,989

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Solution

The third proportional to 133,596,664 and 294,368,989 is: 648,617,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,596,664 : 294,368,989 = 294,368,989 : x
  2. Step 2: Convert to fraction form
    133,596,664/294,368,989 = 294,368,989/x
  3. Step 3: Cross multiply
    133,596,664x = 294,368,989 × 294,368,989
  4. Step 4: Simplify right side
    133,596,664x = 86,653,101,684,882,128
  5. Step 5: Solve for x
    x = 86,653,101,684,882,128/133,596,664
  6. Step 6: Final answer
    x = 648,617,256.53

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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.