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Finding the Third Proportional to 147,908,814 and 315,603,960

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Solution

The third proportional to 147,908,814 and 315,603,960 is: 673,427,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,908,814 : 315,603,960 = 315,603,960 : x
  2. Step 2: Convert to fraction form
    147,908,814/315,603,960 = 315,603,960/x
  3. Step 3: Cross multiply
    147,908,814x = 315,603,960 × 315,603,960
  4. Step 4: Simplify right side
    147,908,814x = 99,605,859,567,681,600
  5. Step 5: Solve for x
    x = 99,605,859,567,681,600/147,908,814
  6. Step 6: Final answer
    x = 673,427,477.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.