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Finding the Third Proportional to 50,652,098 and 103,092,784

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Solution

The third proportional to 50,652,098 and 103,092,784 is: 209,825,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652,098 : 103,092,784 = 103,092,784 : x
  2. Step 2: Convert to fraction form
    50,652,098/103,092,784 = 103,092,784/x
  3. Step 3: Cross multiply
    50,652,098x = 103,092,784 × 103,092,784
  4. Step 4: Simplify right side
    50,652,098x = 10,628,122,112,870,656
  5. Step 5: Solve for x
    x = 10,628,122,112,870,656/50,652,098
  6. Step 6: Final answer
    x = 209,825,901.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.