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Finding the Third Proportional to 100,216,607.06 and 209,596,050.56

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Solution

The third proportional to 100,216,607.06 and 209,596,050.56 is: 438,355,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216,607.06 : 209,596,050.56 = 209,596,050.56 : x
  2. Step 2: Convert to fraction form
    100,216,607.06/209,596,050.56 = 209,596,050.56/x
  3. Step 3: Cross multiply
    100,216,607.06x = 209,596,050.56 × 209,596,050.56
  4. Step 4: Simplify right side
    100,216,607.06x = 43,930,504,411,398,056
  5. Step 5: Solve for x
    x = 43,930,504,411,398,056/100,216,607.06
  6. Step 6: Final answer
    x = 438,355,535.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.