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Finding the Third Proportional to 100,957,106.81 and 219,602,943.56

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Solution

The third proportional to 100,957,106.81 and 219,602,943.56 is: 477,682,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957,106.81 : 219,602,943.56 = 219,602,943.56 : x
  2. Step 2: Convert to fraction form
    100,957,106.81/219,602,943.56 = 219,602,943.56/x
  3. Step 3: Cross multiply
    100,957,106.81x = 219,602,943.56 × 219,602,943.56
  4. Step 4: Simplify right side
    100,957,106.81x = 48,225,452,821,314,560
  5. Step 5: Solve for x
    x = 48,225,452,821,314,560/100,957,106.81
  6. Step 6: Final answer
    x = 477,682,595.55

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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.