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Finding the Third Proportional to 219,410,019 and 456,980,475

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Solution

The third proportional to 219,410,019 and 456,980,475 is: 951,784,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,410,019 : 456,980,475 = 456,980,475 : x
  2. Step 2: Convert to fraction form
    219,410,019/456,980,475 = 456,980,475/x
  3. Step 3: Cross multiply
    219,410,019x = 456,980,475 × 456,980,475
  4. Step 4: Simplify right side
    219,410,019x = 208,831,154,531,225,632
  5. Step 5: Solve for x
    x = 208,831,154,531,225,632/219,410,019
  6. Step 6: Final answer
    x = 951,784,952.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.