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Finding the Third Proportional to 121,943,969,294 and 264,151,252,502

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Solution

The third proportional to 121,943,969,294 and 264,151,252,502 is: 572,196,268,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,943,969,294 : 264,151,252,502 = 264,151,252,502 : x
  2. Step 2: Convert to fraction form
    121,943,969,294/264,151,252,502 = 264,151,252,502/x
  3. Step 3: Cross multiply
    121,943,969,294x = 264,151,252,502 × 264,151,252,502
  4. Step 4: Simplify right side
    121,943,969,294x = 69,775,884,198,375,357,153,280
  5. Step 5: Solve for x
    x = 69,775,884,198,375,357,153,280/121,943,969,294
  6. Step 6: Final answer
    x = 572,196,268,518.62

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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.