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Finding the Third Proportional to 215,265,471,439 and 461,235,622,787

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Solution

The third proportional to 215,265,471,439 and 461,235,622,787 is: 988,260,208,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,265,471,439 : 461,235,622,787 = 461,235,622,787 : x
  2. Step 2: Convert to fraction form
    215,265,471,439/461,235,622,787 = 461,235,622,787/x
  3. Step 3: Cross multiply
    215,265,471,439x = 461,235,622,787 × 461,235,622,787
  4. Step 4: Simplify right side
    215,265,471,439x = 212,738,299,727,711,767,101,440
  5. Step 5: Solve for x
    x = 212,738,299,727,711,767,101,440/215,265,471,439
  6. Step 6: Final answer
    x = 988,260,208,688.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.