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Finding the Third Proportional to 121,943,969,269.50 and 264,151,252,455

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Solution

The third proportional to 121,943,969,269.50 and 264,151,252,455 is: 572,196,268,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,943,969,269.50 : 264,151,252,455 = 264,151,252,455 : x
  2. Step 2: Convert to fraction form
    121,943,969,269.50/264,151,252,455 = 264,151,252,455/x
  3. Step 3: Cross multiply
    121,943,969,269.50x = 264,151,252,455 × 264,151,252,455
  4. Step 4: Simplify right side
    121,943,969,269.50x = 69,775,884,173,545,144,582,144
  5. Step 5: Solve for x
    x = 69,775,884,173,545,144,582,144/121,943,969,269.50
  6. Step 6: Final answer
    x = 572,196,268,429.96

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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.