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Finding the Third Proportional to 191,918,932 and 417,914,024

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Solution

The third proportional to 191,918,932 and 417,914,024 is: 910,030,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,918,932 : 417,914,024 = 417,914,024 : x
  2. Step 2: Convert to fraction form
    191,918,932/417,914,024 = 417,914,024/x
  3. Step 3: Cross multiply
    191,918,932x = 417,914,024 × 417,914,024
  4. Step 4: Simplify right side
    191,918,932x = 174,652,131,455,872,576
  5. Step 5: Solve for x
    x = 174,652,131,455,872,576/191,918,932
  6. Step 6: Final answer
    x = 910,030,759.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.