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Finding the Third Proportional to 149,023,461 and 222,078,650

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Solution

The third proportional to 149,023,461 and 222,078,650 is: 330,947,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,023,461 : 222,078,650 = 222,078,650 : x
  2. Step 2: Convert to fraction form
    149,023,461/222,078,650 = 222,078,650/x
  3. Step 3: Cross multiply
    149,023,461x = 222,078,650 × 222,078,650
  4. Step 4: Simplify right side
    149,023,461x = 49,318,926,785,822,496
  5. Step 5: Solve for x
    x = 49,318,926,785,822,496/149,023,461
  6. Step 6: Final answer
    x = 330,947,398.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.