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Finding the Third Proportional to 85,015,040 and 181,849,600

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Solution

The third proportional to 85,015,040 and 181,849,600 is: 388,981,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,015,040 : 181,849,600 = 181,849,600 : x
  2. Step 2: Convert to fraction form
    85,015,040/181,849,600 = 181,849,600/x
  3. Step 3: Cross multiply
    85,015,040x = 181,849,600 × 181,849,600
  4. Step 4: Simplify right side
    85,015,040x = 33,069,277,020,160,000
  5. Step 5: Solve for x
    x = 33,069,277,020,160,000/85,015,040
  6. Step 6: Final answer
    x = 388,981,491.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.