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Finding the Third Proportional to 172,273,505 and 264,796,730

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Solution

The third proportional to 172,273,505 and 264,796,730 is: 407,011,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,273,505 : 264,796,730 = 264,796,730 : x
  2. Step 2: Convert to fraction form
    172,273,505/264,796,730 = 264,796,730/x
  3. Step 3: Cross multiply
    172,273,505x = 264,796,730 × 264,796,730
  4. Step 4: Simplify right side
    172,273,505x = 70,117,308,218,692,896
  5. Step 5: Solve for x
    x = 70,117,308,218,692,896/172,273,505
  6. Step 6: Final answer
    x = 407,011,561.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.