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Finding the Third Proportional to 191,918,936 and 417,914,032

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Solution

The third proportional to 191,918,936 and 417,914,032 is: 910,030,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,918,936 : 417,914,032 = 417,914,032 : x
  2. Step 2: Convert to fraction form
    191,918,936/417,914,032 = 417,914,032/x
  3. Step 3: Cross multiply
    191,918,936x = 417,914,032 × 417,914,032
  4. Step 4: Simplify right side
    191,918,936x = 174,652,138,142,497,024
  5. Step 5: Solve for x
    x = 174,652,138,142,497,024/191,918,936
  6. Step 6: Final answer
    x = 910,030,775.40

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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.