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Finding the Third Proportional to 202,215,014 and 435,578,372

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Solution

The third proportional to 202,215,014 and 435,578,372 is: 938,251,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,215,014 : 435,578,372 = 435,578,372 : x
  2. Step 2: Convert to fraction form
    202,215,014/435,578,372 = 435,578,372/x
  3. Step 3: Cross multiply
    202,215,014x = 435,578,372 × 435,578,372
  4. Step 4: Simplify right side
    202,215,014x = 189,728,518,154,170,368
  5. Step 5: Solve for x
    x = 189,728,518,154,170,368/202,215,014
  6. Step 6: Final answer
    x = 938,251,390.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.