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Finding the Third Proportional to 54,547,132 and 121,202,144

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Solution

The third proportional to 54,547,132 and 121,202,144 is: 269,307,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,547,132 : 121,202,144 = 121,202,144 : x
  2. Step 2: Convert to fraction form
    54,547,132/121,202,144 = 121,202,144/x
  3. Step 3: Cross multiply
    54,547,132x = 121,202,144 × 121,202,144
  4. Step 4: Simplify right side
    54,547,132x = 14,689,959,710,196,736
  5. Step 5: Solve for x
    x = 14,689,959,710,196,736/54,547,132
  6. Step 6: Final answer
    x = 269,307,645.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.