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Finding the Third Proportional to 82,100,232 and 177,217,488

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Solution

The third proportional to 82,100,232 and 177,217,488 is: 382,532,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100,232 : 177,217,488 = 177,217,488 : x
  2. Step 2: Convert to fraction form
    82,100,232/177,217,488 = 177,217,488/x
  3. Step 3: Cross multiply
    82,100,232x = 177,217,488 × 177,217,488
  4. Step 4: Simplify right side
    82,100,232x = 31,406,038,053,030,144
  5. Step 5: Solve for x
    x = 31,406,038,053,030,144/82,100,232
  6. Step 6: Final answer
    x = 382,532,878.26

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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.