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Finding the Third Proportional to 121,943,969,292 and 264,151,252,498

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Solution

The third proportional to 121,943,969,292 and 264,151,252,498 is: 572,196,268,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,943,969,292 : 264,151,252,498 = 264,151,252,498 : x
  2. Step 2: Convert to fraction form
    121,943,969,292/264,151,252,498 = 264,151,252,498/x
  3. Step 3: Cross multiply
    121,943,969,292x = 264,151,252,498 × 264,151,252,498
  4. Step 4: Simplify right side
    121,943,969,292x = 69,775,884,196,262,149,357,568
  5. Step 5: Solve for x
    x = 69,775,884,196,262,149,357,568/121,943,969,292
  6. Step 6: Final answer
    x = 572,196,268,510.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.