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Finding the Third Proportional to 49,641,705.81 and 108,221,711.44

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Solution

The third proportional to 49,641,705.81 and 108,221,711.44 is: 235,929,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,641,705.81 : 108,221,711.44 = 108,221,711.44 : x
  2. Step 2: Convert to fraction form
    49,641,705.81/108,221,711.44 = 108,221,711.44/x
  3. Step 3: Cross multiply
    49,641,705.81x = 108,221,711.44 × 108,221,711.44
  4. Step 4: Simplify right side
    49,641,705.81x = 11,711,938,826,461,518
  5. Step 5: Solve for x
    x = 11,711,938,826,461,518/49,641,705.81
  6. Step 6: Final answer
    x = 235,929,419.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.