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Finding the Third Proportional to 134,099,616 and 289,567,680

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Solution

The third proportional to 134,099,616 and 289,567,680 is: 625,277,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,099,616 : 289,567,680 = 289,567,680 : x
  2. Step 2: Convert to fraction form
    134,099,616/289,567,680 = 289,567,680/x
  3. Step 3: Cross multiply
    134,099,616x = 289,567,680 × 289,567,680
  4. Step 4: Simplify right side
    134,099,616x = 83,849,441,300,582,400
  5. Step 5: Solve for x
    x = 83,849,441,300,582,400/134,099,616
  6. Step 6: Final answer
    x = 625,277,266.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.