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Finding the Third Proportional to 202,581,931.50 and 435,876,726

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Solution

The third proportional to 202,581,931.50 and 435,876,726 is: 937,835,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,581,931.50 : 435,876,726 = 435,876,726 : x
  2. Step 2: Convert to fraction form
    202,581,931.50/435,876,726 = 435,876,726/x
  3. Step 3: Cross multiply
    202,581,931.50x = 435,876,726 × 435,876,726
  4. Step 4: Simplify right side
    202,581,931.50x = 189,988,520,268,479,072
  5. Step 5: Solve for x
    x = 189,988,520,268,479,072/202,581,931.50
  6. Step 6: Final answer
    x = 937,835,466.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.