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Finding the Third Proportional to 82,065,060 and 177,748,272

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Solution

The third proportional to 82,065,060 and 177,748,272 is: 384,992,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065,060 : 177,748,272 = 177,748,272 : x
  2. Step 2: Convert to fraction form
    82,065,060/177,748,272 = 177,748,272/x
  3. Step 3: Cross multiply
    82,065,060x = 177,748,272 × 177,748,272
  4. Step 4: Simplify right side
    82,065,060x = 31,594,448,198,985,984
  5. Step 5: Solve for x
    x = 31,594,448,198,985,984/82,065,060
  6. Step 6: Final answer
    x = 384,992,689.93

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