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Finding the Third Proportional to 193,516,744 and 417,817,808

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Solution

The third proportional to 193,516,744 and 417,817,808 is: 902,101,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,516,744 : 417,817,808 = 417,817,808 : x
  2. Step 2: Convert to fraction form
    193,516,744/417,817,808 = 417,817,808/x
  3. Step 3: Cross multiply
    193,516,744x = 417,817,808 × 417,817,808
  4. Step 4: Simplify right side
    193,516,744x = 174,571,720,681,924,864
  5. Step 5: Solve for x
    x = 174,571,720,681,924,864/193,516,744
  6. Step 6: Final answer
    x = 902,101,374.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.