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Finding the Third Proportional to 54,815,298.19 and 121,886,431.88

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Solution

The third proportional to 54,815,298.19 and 121,886,431.88 is: 271,024,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,815,298.19 : 121,886,431.88 = 121,886,431.88 : x
  2. Step 2: Convert to fraction form
    54,815,298.19/121,886,431.88 = 121,886,431.88/x
  3. Step 3: Cross multiply
    54,815,298.19x = 121,886,431.88 × 121,886,431.88
  4. Step 4: Simplify right side
    54,815,298.19x = 14,856,302,275,219,016
  5. Step 5: Solve for x
    x = 14,856,302,275,219,016/54,815,298.19
  6. Step 6: Final answer
    x = 271,024,746.13

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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.