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Finding the Third Proportional to 188,201,578 and 407,669,564

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Solution

The third proportional to 188,201,578 and 407,669,564 is: 883,066,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,201,578 : 407,669,564 = 407,669,564 : x
  2. Step 2: Convert to fraction form
    188,201,578/407,669,564 = 407,669,564/x
  3. Step 3: Cross multiply
    188,201,578x = 407,669,564 × 407,669,564
  4. Step 4: Simplify right side
    188,201,578x = 166,194,473,411,950,080
  5. Step 5: Solve for x
    x = 166,194,473,411,950,080/188,201,578
  6. Step 6: Final answer
    x = 883,066,312.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.