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Finding the Third Proportional to 213,066,254 and 459,697,180

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Solution

The third proportional to 213,066,254 and 459,697,180 is: 991,811,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,066,254 : 459,697,180 = 459,697,180 : x
  2. Step 2: Convert to fraction form
    213,066,254/459,697,180 = 459,697,180/x
  3. Step 3: Cross multiply
    213,066,254x = 459,697,180 × 459,697,180
  4. Step 4: Simplify right side
    213,066,254x = 211,321,497,299,952,384
  5. Step 5: Solve for x
    x = 211,321,497,299,952,384/213,066,254
  6. Step 6: Final answer
    x = 991,811,201.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.