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Finding the Third Proportional to 91,409,401.13 and 197,728,264.69

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Solution

The third proportional to 91,409,401.13 and 197,728,264.69 is: 427,707,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,409,401.13 : 197,728,264.69 = 197,728,264.69 : x
  2. Step 2: Convert to fraction form
    91,409,401.13/197,728,264.69 = 197,728,264.69/x
  3. Step 3: Cross multiply
    91,409,401.13x = 197,728,264.69 × 197,728,264.69
  4. Step 4: Simplify right side
    91,409,401.13x = 39,096,466,656,330,056
  5. Step 5: Solve for x
    x = 39,096,466,656,330,056/91,409,401.13
  6. Step 6: Final answer
    x = 427,707,283.66

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Why These Related Problems?

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