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Finding the Third Proportional to 121,943,969,272.50 and 264,151,252,461

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Solution

The third proportional to 121,943,969,272.50 and 264,151,252,461 is: 572,196,268,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,943,969,272.50 : 264,151,252,461 = 264,151,252,461 : x
  2. Step 2: Convert to fraction form
    121,943,969,272.50/264,151,252,461 = 264,151,252,461/x
  3. Step 3: Cross multiply
    121,943,969,272.50x = 264,151,252,461 × 264,151,252,461
  4. Step 4: Simplify right side
    121,943,969,272.50x = 69,775,884,176,714,956,275,712
  5. Step 5: Solve for x
    x = 69,775,884,176,714,956,275,712/121,943,969,272.50
  6. Step 6: Final answer
    x = 572,196,268,441.87

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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.