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Finding the Third Proportional to 89,769,574 and 193,888,028

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Solution

The third proportional to 89,769,574 and 193,888,028 is: 418,767,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,769,574 : 193,888,028 = 193,888,028 : x
  2. Step 2: Convert to fraction form
    89,769,574/193,888,028 = 193,888,028/x
  3. Step 3: Cross multiply
    89,769,574x = 193,888,028 × 193,888,028
  4. Step 4: Simplify right side
    89,769,574x = 37,592,567,401,728,784
  5. Step 5: Solve for x
    x = 37,592,567,401,728,784/89,769,574
  6. Step 6: Final answer
    x = 418,767,358.77

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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.