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Finding the Third Proportional to 202,465,433.25 and 302,373,784.13

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Solution

The third proportional to 202,465,433.25 and 302,373,784.13 is: 451,582,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,465,433.25 : 302,373,784.13 = 302,373,784.13 : x
  2. Step 2: Convert to fraction form
    202,465,433.25/302,373,784.13 = 302,373,784.13/x
  3. Step 3: Cross multiply
    202,465,433.25x = 302,373,784.13 × 302,373,784.13
  4. Step 4: Simplify right side
    202,465,433.25x = 91,429,905,326,072,096
  5. Step 5: Solve for x
    x = 91,429,905,326,072,096/202,465,433.25
  6. Step 6: Final answer
    x = 451,582,790.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.