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Finding the Third Proportional to 117,201,582 and 172,414,710

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Solution

The third proportional to 117,201,582 and 172,414,710 is: 253,638,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201,582 : 172,414,710 = 172,414,710 : x
  2. Step 2: Convert to fraction form
    117,201,582/172,414,710 = 172,414,710/x
  3. Step 3: Cross multiply
    117,201,582x = 172,414,710 × 172,414,710
  4. Step 4: Simplify right side
    117,201,582x = 29,726,832,224,384,100
  5. Step 5: Solve for x
    x = 29,726,832,224,384,100/117,201,582
  6. Step 6: Final answer
    x = 253,638,489.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.