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Finding the Third Proportional to 177,148,300 and 386,531,524

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Solution

The third proportional to 177,148,300 and 386,531,524 is: 843,398,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,148,300 : 386,531,524 = 386,531,524 : x
  2. Step 2: Convert to fraction form
    177,148,300/386,531,524 = 386,531,524/x
  3. Step 3: Cross multiply
    177,148,300x = 386,531,524 × 386,531,524
  4. Step 4: Simplify right side
    177,148,300x = 149,406,619,045,762,560
  5. Step 5: Solve for x
    x = 149,406,619,045,762,560/177,148,300
  6. Step 6: Final answer
    x = 843,398,548.25

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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.