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Finding the Third Proportional to 122,826,666,548 and 188,709,598,110

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Solution

The third proportional to 122,826,666,548 and 188,709,598,110 is: 289,931,440,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,826,666,548 : 188,709,598,110 = 188,709,598,110 : x
  2. Step 2: Convert to fraction form
    122,826,666,548/188,709,598,110 = 188,709,598,110/x
  3. Step 3: Cross multiply
    122,826,666,548x = 188,709,598,110 × 188,709,598,110
  4. Step 4: Simplify right side
    122,826,666,548x = 35,611,312,418,837,716,008,960
  5. Step 5: Solve for x
    x = 35,611,312,418,837,716,008,960/122,826,666,548
  6. Step 6: Final answer
    x = 289,931,440,945.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.