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Finding the Third Proportional to 218,834,966.25 and 472,610,408.91

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Solution

The third proportional to 218,834,966.25 and 472,610,408.91 is: 1,020,680,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,834,966.25 : 472,610,408.91 = 472,610,408.91 : x
  2. Step 2: Convert to fraction form
    218,834,966.25/472,610,408.91 = 472,610,408.91/x
  3. Step 3: Cross multiply
    218,834,966.25x = 472,610,408.91 × 472,610,408.91
  4. Step 4: Simplify right side
    218,834,966.25x = 223,360,598,606,532,832
  5. Step 5: Solve for x
    x = 223,360,598,606,532,832/218,834,966.25
  6. Step 6: Final answer
    x = 1,020,680,572.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.