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Finding the Third Proportional to 131,598,596 and 285,140,968

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Solution

The third proportional to 131,598,596 and 285,140,968 is: 617,828,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,598,596 : 285,140,968 = 285,140,968 : x
  2. Step 2: Convert to fraction form
    131,598,596/285,140,968 = 285,140,968/x
  3. Step 3: Cross multiply
    131,598,596x = 285,140,968 × 285,140,968
  4. Step 4: Simplify right side
    131,598,596x = 81,305,371,631,977,024
  5. Step 5: Solve for x
    x = 81,305,371,631,977,024/131,598,596
  6. Step 6: Final answer
    x = 617,828,564.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.