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Finding the Third Proportional to 82,065,076 and 177,748,304

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Solution

The third proportional to 82,065,076 and 177,748,304 is: 384,992,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065,076 : 177,748,304 = 177,748,304 : x
  2. Step 2: Convert to fraction form
    82,065,076/177,748,304 = 177,748,304/x
  3. Step 3: Cross multiply
    82,065,076x = 177,748,304 × 177,748,304
  4. Step 4: Simplify right side
    82,065,076x = 31,594,459,574,876,416
  5. Step 5: Solve for x
    x = 31,594,459,574,876,416/82,065,076
  6. Step 6: Final answer
    x = 384,992,753.49

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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.