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Finding the Third Proportional to 211,253,148 and 453,743,240

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Solution

The third proportional to 211,253,148 and 453,743,240 is: 974,579,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,253,148 : 453,743,240 = 453,743,240 : x
  2. Step 2: Convert to fraction form
    211,253,148/453,743,240 = 453,743,240/x
  3. Step 3: Cross multiply
    211,253,148x = 453,743,240 × 453,743,240
  4. Step 4: Simplify right side
    211,253,148x = 205,882,927,845,697,600
  5. Step 5: Solve for x
    x = 205,882,927,845,697,600/211,253,148
  6. Step 6: Final answer
    x = 974,579,218.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.