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Finding the Third Proportional to 149,437,710 and 308,424,982

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Solution

The third proportional to 149,437,710 and 308,424,982 is: 636,559,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,437,710 : 308,424,982 = 308,424,982 : x
  2. Step 2: Convert to fraction form
    149,437,710/308,424,982 = 308,424,982/x
  3. Step 3: Cross multiply
    149,437,710x = 308,424,982 × 308,424,982
  4. Step 4: Simplify right side
    149,437,710x = 95,125,969,521,700,320
  5. Step 5: Solve for x
    x = 95,125,969,521,700,320/149,437,710
  6. Step 6: Final answer
    x = 636,559,336.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.