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Finding the Third Proportional to 341,665,334.82 and 510,259,099.42

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Solution

The third proportional to 341,665,334.82 and 510,259,099.42 is: 762,044,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,334.82 : 510,259,099.42 = 510,259,099.42 : x
  2. Step 2: Convert to fraction form
    341,665,334.82/510,259,099.42 = 510,259,099.42/x
  3. Step 3: Cross multiply
    341,665,334.82x = 510,259,099.42 × 510,259,099.42
  4. Step 4: Simplify right side
    341,665,334.82x = 260,364,348,545,787,520
  5. Step 5: Solve for x
    x = 260,364,348,545,787,520/341,665,334.82
  6. Step 6: Final answer
    x = 762,044,966.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.