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Finding the Third Proportional to 191,918,938 and 417,914,036

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Solution

The third proportional to 191,918,938 and 417,914,036 is: 910,030,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,918,938 : 417,914,036 = 417,914,036 : x
  2. Step 2: Convert to fraction form
    191,918,938/417,914,036 = 417,914,036/x
  3. Step 3: Cross multiply
    191,918,938x = 417,914,036 × 417,914,036
  4. Step 4: Simplify right side
    191,918,938x = 174,652,141,485,809,280
  5. Step 5: Solve for x
    x = 174,652,141,485,809,280/191,918,938
  6. Step 6: Final answer
    x = 910,030,783.34

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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.