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Finding the Third Proportional to 201,971,572.88 and 307,029,690

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Solution

The third proportional to 201,971,572.88 and 307,029,690 is: 466,735,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971,572.88 : 307,029,690 = 307,029,690 : x
  2. Step 2: Convert to fraction form
    201,971,572.88/307,029,690 = 307,029,690/x
  3. Step 3: Cross multiply
    201,971,572.88x = 307,029,690 × 307,029,690
  4. Step 4: Simplify right side
    201,971,572.88x = 94,267,230,541,496,096
  5. Step 5: Solve for x
    x = 94,267,230,541,496,096/201,971,572.88
  6. Step 6: Final answer
    x = 466,735,140.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.