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Finding the Third Proportional to 92,702,930,108.62 and 198,819,049,314.38

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Solution

The third proportional to 92,702,930,108.62 and 198,819,049,314.38 is: 426,405,231,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,702,930,108.62 : 198,819,049,314.38 = 198,819,049,314.38 : x
  2. Step 2: Convert to fraction form
    92,702,930,108.62/198,819,049,314.38 = 198,819,049,314.38/x
  3. Step 3: Cross multiply
    92,702,930,108.62x = 198,819,049,314.38 × 198,819,049,314.38
  4. Step 4: Simplify right side
    92,702,930,108.62x = 39,529,014,370,273,872,314,368
  5. Step 5: Solve for x
    x = 39,529,014,370,273,872,314,368/92,702,930,108.62
  6. Step 6: Final answer
    x = 426,405,231,463.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.