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Finding the Third Proportional to 201,543,630 and 302,262,957

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Solution

The third proportional to 201,543,630 and 302,262,957 is: 453,315,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543,630 : 302,262,957 = 302,262,957 : x
  2. Step 2: Convert to fraction form
    201,543,630/302,262,957 = 302,262,957/x
  3. Step 3: Cross multiply
    201,543,630x = 302,262,957 × 302,262,957
  4. Step 4: Simplify right side
    201,543,630x = 91,362,895,174,383,856
  5. Step 5: Solve for x
    x = 91,362,895,174,383,856/201,543,630
  6. Step 6: Final answer
    x = 453,315,717.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.