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Finding the Third Proportional to 133,729,095 and 291,199,041

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Solution

The third proportional to 133,729,095 and 291,199,041 is: 634,094,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729,095 : 291,199,041 = 291,199,041 : x
  2. Step 2: Convert to fraction form
    133,729,095/291,199,041 = 291,199,041/x
  3. Step 3: Cross multiply
    133,729,095x = 291,199,041 × 291,199,041
  4. Step 4: Simplify right side
    133,729,095x = 84,796,881,479,319,680
  5. Step 5: Solve for x
    x = 84,796,881,479,319,680/133,729,095
  6. Step 6: Final answer
    x = 634,094,483.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.