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Finding the Third Proportional to 146,209,378 and 321,113,060

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Solution

The third proportional to 146,209,378 and 321,113,060 is: 705,246,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,209,378 : 321,113,060 = 321,113,060 : x
  2. Step 2: Convert to fraction form
    146,209,378/321,113,060 = 321,113,060/x
  3. Step 3: Cross multiply
    146,209,378x = 321,113,060 × 321,113,060
  4. Step 4: Simplify right side
    146,209,378x = 103,113,597,302,563,600
  5. Step 5: Solve for x
    x = 103,113,597,302,563,600/146,209,378
  6. Step 6: Final answer
    x = 705,246,125.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.