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Finding the Third Proportional to 98,873,258.34 and 208,956,576.66

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Solution

The third proportional to 98,873,258.34 and 208,956,576.66 is: 441,604,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,873,258.34 : 208,956,576.66 = 208,956,576.66 : x
  2. Step 2: Convert to fraction form
    98,873,258.34/208,956,576.66 = 208,956,576.66/x
  3. Step 3: Cross multiply
    98,873,258.34x = 208,956,576.66 × 208,956,576.66
  4. Step 4: Simplify right side
    98,873,258.34x = 43,662,850,927,895,096
  5. Step 5: Solve for x
    x = 43,662,850,927,895,096/98,873,258.34
  6. Step 6: Final answer
    x = 441,604,248.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.