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Finding the Third Proportional to 39,161,196 and 84,830,901.75

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Solution

The third proportional to 39,161,196 and 84,830,901.75 is: 183,760,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,161,196 : 84,830,901.75 = 84,830,901.75 : x
  2. Step 2: Convert to fraction form
    39,161,196/84,830,901.75 = 84,830,901.75/x
  3. Step 3: Cross multiply
    39,161,196x = 84,830,901.75 × 84,830,901.75
  4. Step 4: Simplify right side
    39,161,196x = 7,196,281,891,718,153
  5. Step 5: Solve for x
    x = 7,196,281,891,718,153/39,161,196
  6. Step 6: Final answer
    x = 183,760,523.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.