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Finding the Third Proportional to 145,116,702 and 315,741,627

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Solution

The third proportional to 145,116,702 and 315,741,627 is: 686,983,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,116,702 : 315,741,627 = 315,741,627 : x
  2. Step 2: Convert to fraction form
    145,116,702/315,741,627 = 315,741,627/x
  3. Step 3: Cross multiply
    145,116,702x = 315,741,627 × 315,741,627
  4. Step 4: Simplify right side
    145,116,702x = 99,692,775,020,607,136
  5. Step 5: Solve for x
    x = 99,692,775,020,607,136/145,116,702
  6. Step 6: Final answer
    x = 686,983,466.73

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Why These Related Problems?

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