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Finding the Third Proportional to 102,335,684 and 222,601,576

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Solution

The third proportional to 102,335,684 and 222,601,576 is: 484,205,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335,684 : 222,601,576 = 222,601,576 : x
  2. Step 2: Convert to fraction form
    102,335,684/222,601,576 = 222,601,576/x
  3. Step 3: Cross multiply
    102,335,684x = 222,601,576 × 222,601,576
  4. Step 4: Simplify right side
    102,335,684x = 49,551,461,637,683,776
  5. Step 5: Solve for x
    x = 49,551,461,637,683,776/102,335,684
  6. Step 6: Final answer
    x = 484,205,114.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.