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Finding the Third Proportional to 145,111,982 and 315,732,673

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Solution

The third proportional to 145,111,982 and 315,732,673 is: 686,966,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,111,982 : 315,732,673 = 315,732,673 : x
  2. Step 2: Convert to fraction form
    145,111,982/315,732,673 = 315,732,673/x
  3. Step 3: Cross multiply
    145,111,982x = 315,732,673 × 315,732,673
  4. Step 4: Simplify right side
    145,111,982x = 99,687,120,799,724,928
  5. Step 5: Solve for x
    x = 99,687,120,799,724,928/145,111,982
  6. Step 6: Final answer
    x = 686,966,847.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.