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Finding the Third Proportional to 113,111,549 and 172,954,547

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Solution

The third proportional to 113,111,549 and 172,954,547 is: 264,458,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,111,549 : 172,954,547 = 172,954,547 : x
  2. Step 2: Convert to fraction form
    113,111,549/172,954,547 = 172,954,547/x
  3. Step 3: Cross multiply
    113,111,549x = 172,954,547 × 172,954,547
  4. Step 4: Simplify right side
    113,111,549x = 29,913,275,327,975,208
  5. Step 5: Solve for x
    x = 29,913,275,327,975,208/113,111,549
  6. Step 6: Final answer
    x = 264,458,188.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.