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Finding the Third Proportional to 82,263,738 and 127,788,398

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Solution

The third proportional to 82,263,738 and 127,788,398 is: 198,506,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,263,738 : 127,788,398 = 127,788,398 : x
  2. Step 2: Convert to fraction form
    82,263,738/127,788,398 = 127,788,398/x
  3. Step 3: Cross multiply
    82,263,738x = 127,788,398 × 127,788,398
  4. Step 4: Simplify right side
    82,263,738x = 16,329,874,663,406,404
  5. Step 5: Solve for x
    x = 16,329,874,663,406,404/82,263,738
  6. Step 6: Final answer
    x = 198,506,353.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.