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Finding the Third Proportional to 148,689,459 and 322,086,510

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Solution

The third proportional to 148,689,459 and 322,086,510 is: 697,693,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689,459 : 322,086,510 = 322,086,510 : x
  2. Step 2: Convert to fraction form
    148,689,459/322,086,510 = 322,086,510/x
  3. Step 3: Cross multiply
    148,689,459x = 322,086,510 × 322,086,510
  4. Step 4: Simplify right side
    148,689,459x = 103,739,719,923,980,096
  5. Step 5: Solve for x
    x = 103,739,719,923,980,096/148,689,459
  6. Step 6: Final answer
    x = 697,693,842.06

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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.