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Finding the Third Proportional to 108,853,065 and 235,022,310

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Solution

The third proportional to 108,853,065 and 235,022,310 is: 507,431,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853,065 : 235,022,310 = 235,022,310 : x
  2. Step 2: Convert to fraction form
    108,853,065/235,022,310 = 235,022,310/x
  3. Step 3: Cross multiply
    108,853,065x = 235,022,310 × 235,022,310
  4. Step 4: Simplify right side
    108,853,065x = 55,235,486,197,736,096
  5. Step 5: Solve for x
    x = 55,235,486,197,736,096/108,853,065
  6. Step 6: Final answer
    x = 507,431,611.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.