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Finding the Third Proportional to 202,581,934 and 435,876,730

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Solution

The third proportional to 202,581,934 and 435,876,730 is: 937,835,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,581,934 : 435,876,730 = 435,876,730 : x
  2. Step 2: Convert to fraction form
    202,581,934/435,876,730 = 435,876,730/x
  3. Step 3: Cross multiply
    202,581,934x = 435,876,730 × 435,876,730
  4. Step 4: Simplify right side
    202,581,934x = 189,988,523,755,492,896
  5. Step 5: Solve for x
    x = 189,988,523,755,492,896/202,581,934
  6. Step 6: Final answer
    x = 937,835,472.32

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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.